Notes:

https://www.findagrave.com/memorial/163409245/a_-v_-stillwell

Between Gravesend avenue, Lake street and the Village road is the oldest public cemetery in Kings County, having been established nearly 400 years ago and containing the names of the thirty-nine patentees of Gravesend, settled by Lady Deborah Moody in 1659. . .

. . . Most of the headstones of a date earlier than the Eighteenth Century are in the same condition [inscription indecipherable by the action of time and the elements], though there are many of those over a hundred years old still to be easily read. They mark the graves of Thomas Tilton, Samuel Holmes, John Lake, William Compton, Samuel Spicer, James Hubbard, John Tilton, John Bowne, John Griggs, Bayrent Juriansen, Obadiah Wilkinson, Ralph Cardell, Thomas D. Lavall, John Tilton Jr., John Cook, Nicholas Stillwell, Elias Bridges, Ann Wilkins, William Williamson, John Guinans, John Poland, John Applegate and William Golding. These were the original patentees who settled Gravesend in 1635.

Then, too, there are also a number of other graves occupied by the Holland Dutch who later had possession of the town. Among the latter interments are those of Mrs. Alletta Ann Stillwell, who, when she died in 1910, at the age of 83, was counted the richest woman in Gravesend. Since possession was given to the commissioners under the act, there have been interred over 400 bodies, all of them being relatives of the older settlers. The majority of the interments and the advanced age of the majority of those buried, indicates the healthfulness of the vicinity. Among these are John I. Voorhees, 62; William K. Vanderbilt, 70; Anna M. Johnson, 76; Susanne Graue, 76; Louise Van Sicklen, 73; Sarah Emmens, 83; Joseph B. Denyse, 67; A. V. Stillwell, 79; Stillwell Voorhies, 80; Peter H. Rumph, 78, and his wife, age 74; Jacobus Van Sicklen, 84; John Denyse, 63; Mary Morris, 76; David Snedeker, 87; John Johnson, 72; Gertrude Ryder, 83; William H. Morris, 75; Isaac Ryder, 63; Clara Hambeck, 83; Catherine Stillwell, 73; James R. Aldrich, 70; Cather Van Riper, 67; Sarah Snedeker, 75; Daniel C. Lake, 70; Jane Harland, 85; John H. Kouwenhoven, 76; Joachim Harloff, 89, and Lucy Caldwell, 103.

The only person having a plot there who was not related to the early descendants was John Y. McKane. He had one of the finest plots in the cemetery, which is still preserved, and in which a brother, Robert J. McKane, is buried. His own remains are interred in Greenwood Cemetery. . .

~ Brooklyn Daily Eagle, Sun., 22 Jul 1917, pg. 6

Annetje Van Dyke - 1686 in New York buried Gravesend. According to findagrave she was married later to William Foster (dates unknown) and William Wilkens who died 1676.

https://www.wikitree.com/wiki/Unknown-329619
Biography - Parents: It is not known who Ann's parents are and her surname never appeared in the records of New Netherland.
Presumed daughter of Thomas Janse Van Dyke and Sytje Verks Dirks.

There is a family tradition that she was Dutch and that she might have been a van Dyke or a van Dincklage and the daughter of one of the Schout Fiscaels in New Netherland, possibly Hendrick van Dyck/Dyke or Lubbert van Dincklage. Somewhere along the way, family genealogists have conflated all of the van Dykes into one family and she was given the parents of Thomas Jansz van Dyke and Sytie Dircks. There are no sources to support any of these parents.

"Of Ann, the wife of Nicholas Stillwell, the First, little is known. She was probably an English woman, for she subsequently became the wife of William Wilkins and of William Foster, both Englishmen, and nowhere among the Dutch records, wherein her name appears and where the opportunity has been ample, has her surname been given, as was common among the Dutch of that day."

"The statement that the wife of Nicholas Stillwell, the First, was a Dutch woman rests on too meagre evidence to be entertained. Judge Nicholas Stillwell, a descendant through Nicholas Stillwell, the Second, and a resident of Gravesend, had a hazy tradition that either the first or the second Nicholas Stillwell brought from Leyden, Holland, 'a Dutch wife and a couple of children'; and from Benjamin M. Stilwell came the assertion that she was either a Van Dyke or a Van Dincklage, daughter of the New Amsterdam Schout Fiscal of that name. With him, Benjamin M. Stilwell, it was merely a belief that she was a member of one of these two families, based upon some remote association in his mind of these names, but of proof he had none."

Supposed Parents
Father: Thomas Jansen Van Dyke b: 1580 in Amsterdam, Holland Mother: Sytje Dircks b: 1584 in Amsterdam, Holland

The only source found for her name so far is Early memoirs of the Stilwell family...
Name: Annetje "Anne" /VanDyke/
Birth: 1618 Holland, Reusel-de Mierden, Noord-Brabant, Netherlands
Note that this is a completely bogus birth location. Here is a Dutch Genealogy blog which explains the error. It should be removed wherever it is found, because it is extremely unlikely that many people's genealogical ancestors actually came from that small town.
1620 Staten Island, Richmond, New York
Wife of William Wilkins; William Foster and Lieutenant Nicholas Stillwell, III

First Marriage
Husband: Lt. Nicholas Cook Jr. Stillwell
Wife: Annetje VanDyke
Wife of Nicholas Stillwell - married 1641 in New Amsterdam, New York
1640 New Amsterdam, New York
1648 United States
Mother of
John Stillwell
Captain Richard Stillwell
Anne Stillwell
Alice Abigail Stillwell
William Stillwell
Elias Stillwell
Thomas Stillwell
Daniel Stillwell
Mary Mott (Stillwell)
Jeremiah Stillwell
Second Marriage
After Nicholas Stillwell died Annetje remarried in 1672 to William Wilkins.
Husband: William Wilkins
Wife: Annetje VanDyke
1654 Gravesend, Long Island
29 Dec 1672 Gravesend, Kings, New York.
1671 Staten Island, Richmond, New York

Death 1686 Long Island, Queens, New York
1686 Long Island City, Queens, New York
Church records
1651 Jul 09 Thomas, Nicolaes Stillewel, Anna. Wit.: Thomas Hall, Marritie Geerards, Susanna Bresert.
1653 Nov 13 Daniel, Nicolaes Stilwell. Wit.: Pieter Wolfertszen, Jean Vaen, Hester Ter Neuf, Mary Arbecq.
1663 Jan 13 Jeremias, Nicolaes Stillewill, Annetje. Wit.: Frans Joosten Bruijn, Hans Stijn, en sijn huysvrouw.
1672 Dec 29 William Wilking to Ann Stillwell wid. of Gravesend.
Other DRC Church Records where Annetje was baptism witness:
1651 Jul 09; Francois Wicks; Thomas; Ennem Bennem, Thomas Baxster & wife, Annetje Stillewil
1651 Jul 09; Francois Wicks; Annatje; Ennem Bennem, Thomas Baxster & wife, Annetje Stillewil
Sources
"Stillwell Genealogy." haygenealogy.com. Accessed 16 Jul 2016. http://haygenealogy.com/hay/sources/britton/stillwelltreeorig.html
The New York Genealogical and Biographical Record (quarterly-1879) - Extracts; Publication Place: New York; Publisher: New York Genealogical and Biographical Society; Page: 128
Bergen's Early Settlers of Kings Co, New York Page 277
Thomas Grier Evans. "Baptisms from 1639 to 1730 in the Reformed Dutch Church, New York." In Collections of the New-York Genealogical and Biographical Society. Vol. II. New York: Printed for the Society, 1890.
The New York Genealogical and Biographical Record. Vol. IV. New York, NY: New York Genealogical and Biographical Society, 1873. "Marriage Records, Gravesend, L. I.".
NJGS. "Stillwell: Anne Van Dyke." njgsbc.org. Accessed 06 Jul 2016. http://njgsbc.org/files/BCFamilies/BCFam-Stillwell.pdf PDF
Chester, Chris. "The Brouwer Genealogy Database." freepages.genealogy.rootsweb.ancestry.com/~brouwergenealogydata. Ann Van Dyke Accessed May 23, 2016.
Genealogy of the Family of Longstreet Completed. Edward Mayes. Circa 1935. Privately published. Clark T. Thornton, editor. Reprinted 2009. Pages 91, 93.
Title: Daniel Perrin, "The Huguenot," and his descendants in America, of the surnames, Perrine, Perine, and Prine, 1665-1910: Author: Perrine, Howland Delano: Publication: South Orange, N.J.,publisher unknown,1910: Date: 2 Jul 2006
Title: American Marriages Before 1699
Title: U.S. and International Marriage Records, 1560-1900 Author: Yates Publishing
Title: New York, Genealogical Records, 1675-1920
Title: Family Data Collection - Marriages Author: Edmund West.
Title: New York City, Marriages, 1600s-1800s Author: Genealogical Research Library
Title: American Genealogical-Biographical Index (AGBI) Author: Godfrey Memorial Library
Title: U.S., New England Marriages Prior to 1700

Buried:
https://www.findagrave.com/memorial/163408317/ann-wilkins

or

https://www.findagrave.com/memorial/163409245/a_-v_-stillwell

Family/Spouse: Nicholas Stillwell. Nicholas (son of Nicholas Stillwell and Alice) was born in 1603 in Surrey, England; died on 28 Dec 1671 in Brooklyn, Kings County, NY. [Group Sheet] [Family Chart]

1. Ann Stillwell was born in 1642; died in 1709 in Staten Island, New York.

Notes:

https://www.wikitree.com/wiki/Van_Dyck-73
Biography
The progenitor of the family in America, Thomas Janse van Dyck was born Abt. 1580 in Amsterdam North Holland, and died 1655 in New Utrecht, Long Island, King Co.[1]
He came to New Amsterdam from Amsterdam with 3 generations of his family on the ship De Bonte Kou (The Spotted Cow) in 1652, settling at Brooklyn, Long Island, Where he became a member of the 1st reformed church. "Source 2 He was one of founders in 1657 of New Utrecht, which became an established town comprising of about one thousand acres divided into farms of fifty acres each. He was active in the affairs of the colony from the beginning and soon received honors and appointments under its goverment. He inherited the qualities of energy and the ability from his ancestors of Holland.He was for many years a Magistrate of Fort Orange and New Utrecht A family which had long been considered one of the best. In 1659 he added a tract of land, (meadow) that extended toward what is now called Coney Island"
On January 16, 1657, he was one of the founders of New Utrecht, where Director-General Peter Stuyvesant had permitted the establishment of a town, comprising about one thousand acres divided into farms of fifty acres each. Jan Thomasse Van Dyke was the owner of one of these farms and in 1659 added to it a tract of meadow land extending toward what is now called Coney Island. Active in the affairs of the Colony from the beginning, he soon received honors and appointments under its government.
On October 2, 1659, he was appointed sergeant by the Director-General and Council at Fort Amsterdam, "to keep watch, the people to acknowledge and obey him."
For many years he was a magistrate at Fort Orange and New Utrecht.
Marriage
Thomas Janse Van Dyke, came to New Amsterdam in 1652, with his wife and children, and in 1661 he and his wife were enrolled as members of the Reformed Dutch Church in Brooklyn. Thomas Janse Van Dyke married Sytie Dirks.
Children:
Jan Thomasse
Claes or Nicholas Thomasse, who, it is said, married (1), April 20, 1689, Tryntje Rinnerse Arends; June 4, 1692, Fransyntie Hendricks.
Hendricks Thomasse, married, in New Amsterdam, September 7, 1679, Neeltje Adriaens, widow of Jan Lauwrensz, of New Utrecht.
Event
Immigration: On ship De Bonte Kou (The Spotted Cow) 1 Immigration: With 3 generations of his family
1661 -- arrived at New York, New York
1652 -- arrived at New York, NY
Event: Settled Unknown 1652 Brooklyn,Long Island,NY
Event: Founding father Unknown Of New Utrecht, Long Island, Kings Co, NY
Death
1665 -- Jan van Dyck died at Brooklyn, Long Island, New Amsterdam, New York, United States
Thomas Janse died 1665, or at least I can throw out the 1655 as a typo since he was alive and admitted to Dutch reformed Church at Brooklyn 1661, several other dates after 1655 he was up and well

Thomas married Sytie Dirks in 1604 in New York. Sytie was born in 1584 in Reusel-de Mierden, Noord-Brabant, Netherlands; died in 1620 in Brooklyn, Kings County, NY. [Group Sheet] [Family Chart]