Jacomeintje/Jacomyntie was her given name, later changed to Jemima.
Jemima was christened 13 Jul 1785, record #8434, p408 of "Baptismal & Marriage Records of the Old Dutch Church Kingston" (BMRDUCK) which states her parents as:
Jacobus Van Etten & Annatje Van Etten and states her sponsors as:
Johannes Van Etten & Catharina Kool/Cole: Jemima's paternal grandparents.

Jemima's sibling's christenings in BMRDUCK are listed below with parents listed as "Jacobus Van Etten & Annatje Van Etten" (note mother's maiden last name is recorded as "Van Etten"). They were 2nd/3rd cousins (see below).

Sarah c 6 Feb 1787, d 1817 spon. Abraham & Sarah VanEtten (maternal grandparents)
Johannes c Feb 1789, spon. Jacobus Van Etten, Lea VanEtten
Maria c 19 Dec 1790, spon. John Van Etten, Maria VanEtten
William: c 19 Aug1792, spon. Wilhelmus Rau, (Aunt) Catharina VanEtten
Abraham: b. 29 Jan c 21 Feb 1796, spon. Abraham Wolf, Annatje Wolf
Catharina: b 3 Apr c 19 Jun 1799 spon. (Aunt) Catharina VanEtten & Wilhelm Brit
Benjamin: b 16 Apr c 25 May 1803 no sponsors, d 24 Feb 1837

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"12 Dec 1808, Jacomeintje Van Etten married in Kingston, Ulster County, New York, to: Martinus Abraham Snyder. Both reside under the jurisdiction of Kingston."
(record #2250, p. 682 in BMRDUCK).

Abraham and Jemima, moved to Greene Co., New York, before 23 Nov 1816, the date of the very first record of their existence there, which was the baptismal date of their son, JAMES MANACCAH SNYDER. Source: Records of the Reformed Dutch Church, in Oak Hill in the town of Durham, Greene County, New York.

15 Jul 1821, Register of Church Members by certificate:
Martin A. Snyder & his wife, Jemima Van Etten on Certificate. Oakhill Church in Durham, Greene County, New York.

2 Mar 1822, Martin A. Snyder and Jemima Van Ettonon; church membership at Oakhill Dutch Reformed Church in Durham, Greene Co., New York, 1798-1829 Church Members.

= = = = = = = = = = = JEMIMA's GENEALOGY = = = = = = = = = = =

Jemima's American ancestors are ultimately traced back to Jacob Jansen, who came to America between 1652 - 1658. He was born 1632; baptized October 22, 1634, at Etten, North Brabant, Holland. Jacob Jansen was s/o of Johannes Marinessen (c .23 Mar 1597, at Etten, Holland) and Wilhelimina Hoannes Adriense, of Amsterdam.

Jacob worked as a farmhand for Aert Pieters/Petersen Tack, who was killed by natives at Esopus, New York, ca. 1658, who was referred to as "head farmer of Tack". The BMRDUCK shows Jacob Jansen of Etten, Brabant, Holland, married Annetje Arians of Amsterdam, "the deserted wife of Aert Pietersen Tack, both residing here in Wiltwyck" (Kingston), were married 11 Jan 1665.

Old records show Jacob was a petitioner for a minister for the old church at Esopus in 1676. Jacob Jansen was one of those who signed a petition for control of local affairs, January 26, 1684, mentioned in Old Ulster II (257-262), which angered Governor Thomas Donger that all the signers were arrested and fined. Jacob Jansen Van Etten took an oath of allegiance to England in 1689 in Ulster Co., N. Y. by order of the governor. Jacob was a founder of the Old Dutch Church of Kingston.

Jemima's father Jacobus Van Etten (b. 1750), was s/o Johannes Van Etten (b. 1721), who was s/o Jacobus Van Etten (b. 1698), who was s/o Adrian Van Etten (b. 1670), who was s/o of Jacob Jansen Van Etten (b. 1632/34) & Annetje Arens (b. 1645).

Ancestry of Jemima's FATHER traceable via:
FOA/MOA = father/mother of above.

Father of Jemima was Jacobus Van Etten (1750-1812).

FOA Jacobus VanEtten (1750-1812) Johannes Van Etten (1721-ca. 1803).
MOA Jacobus VanEtten (1750-1812) Jacomyntje Nieuwkereken (b. 1729).

FOA Johannes VanEtten(1721-ca. 1803): Jacobus VanEtten (1698-ca. 1749)
MOA Johannes VanEtten (1721-ca. 1803): Catharina Kool
Catharina Kool was 2nd m. in Sep 1749 to Willem Burbant.

FOA Jacobus Van Etten (1698-ca. 1749) was Adrian Van Etten (1670-1702/3)
MOA Jacobus Van Etten (1698-ca. 1749) was Catherine Crom
Catherine Crom was 2nd m. in 1703 to Hendrick Hendrickson Kortreght.

FOA Adrian Van Etten (1670-1702/3) was Jacob Jansen Van Etten (c. 11 Oct 1634, d. 1693)
MOA Adrian Van Etten (1670-1702/3) was Annetje Ariens (1645)

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Jemima's mother Annatie Van Etten (b1759), was a daughter of Abraham Van Etten (b1724), who was a son of Jacobus Van Etten (b1686), who was a son of Jacob Jansen Van Etten (b1632/34) & Annetje Arens (b1645).

Descendancy of Jacomientje's MOTHER traceable via:
FOA/MOA = father/mother of above.

Mother of Jacomeintje Annatie Van Etten (1759-1839)

FOA Annatie Abraham Jacobussen Van Etten (1724-1784)
MOA Annatie Sarah Van Steenbergen (b1726)

FOA Abraham (1724-1784) Jacobus Jacobszen Van Etten (1686-1758)
MOA Abraham (1724-1784) Rebekka Jansze Roosa (1687/8-1767)

FOA Jacobus Jacobszen (1686-1758) Jacob Jansen Van Etten (b 1632 c 10/22/1634, d 1693)
MOA Jacobus Jacobszen (1686-1758) Annetje Ariens (b1645)

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Through Jemima's father Jacobus Van Etten, she was a 2X great grand daughter of Jacob Jansen Van Etten (1632-1693) & Annetje Ariens (b1645).

Through Jemima's mother Annatie Van Etten, she was a 1X great grand daughter of Jacob Jansen Van Etten (1632-1693) & Annetje Ariens (b1645).

Biography compilation by 4X great grandson, Mark Hayden.