If the records of Riker are correct concerning the children he names, then Abraham was married to two (living) wivesat the same time; something that the Reformed Dutch Church would not have allowed. Abraham was a magistrate, an elder/deacon in the Kingston Reformed Dutch Church, and was prominent in public affairs.
Thus, it would seem) James Riker (above) has several of the children incorrectly listed in his records. They should (as you indicate) be:
Abraham and Celeste had four children: Cornelius (1683-1760) #313 Kingston Records, pg. 19 Susannah (1685 -?) #439 Kingston Record, pg. 25 Johannes (1687 - ?) Isaac (1689 - ?) Janine Davis records
QUESTION #1? - So who is this Mary listed by James Riker? The microfiche for Ulster County, as of March 1992, (pg. 29, 342) attributes Mary to Abraham La Matre/Celeste Vernoy. However, Abraham is remarried to Elsie before Mary's birth date. So is Mary the daughter of Jan Delamater and Ruth Waldron, or of Abraham Delamater and Elsie Tappan? Or, as some say, was Mary born August 8, 1686?
QUESTION #2? - And, what happened to the Catherine (#20) listed in Riker's records, baptized 3/21/1697? Some say Catherine was the daughter of Abraham Delamater and Celeste Vernoye and married a William Van Gaasbeck (1695-1750) who lived in Kingston. She does show up in some records as a daughter of Jan and Ruth.
*****Seven children are mentioned in Abraham Delamater's Will, dated 10/20/1734. Cornelius (1683), Adriana (1694), Johannes (1697), David (1700), Jacobus (1705) and Abraham, Jr.(1707) & Janetie [Lechier](1689) daughter of his 2nd wife, Elsie who was previously married to Hillebrant Lechier.
It is doubtful that Mary [who married John Pearce] could be the daughter of Abraham and Elsie, as Mary died 24 Oct 1734 and Abraham's will is dated 10/20/1734.
Any help in these matters would be greatly appreciated by quite a few researchers, including myself.