I forgot to add that your Peter who m Elisabeth Barheit was not the Peter born 1761. Your Peter was bpt 4 Nov. 1764 in Kinderhook
Here is his bpt record
Transcribed and Indexed by Arthur C. M. Kelly, Baptism Record of Kinderhook Reformed Church, Kinderhook, NY, 1718-1899, #1079. Johannes Van Slyck, Lena Gardenier - Pieter. Jochem Van Slyck, and wife Cornelia V. Valkenburg.
Here is the record for Peter bpt in Kinderhook in 1761.
Transcribed and Indexed by Arthur C. M. Kelly, Baptism Record of Kinderhook Reformed Church, Kinderhook, NY, 1718-1899, #950. Jochem Van Slyck, Cornelia Van Valkenburg - Pieter. Johannes Van Slyck, Johanna Van Slyck.
THIS Peter went on to marry Maria Vosburg and had children Catalina Van Slyke, Jochem Van Slyke, Neeltje Van Slyke,Jochem Van Slyke, John Van Slyke
Your Peter (who m Elisabeth Barheit) had children
John Van Slyke Philip Van Slyke Dewitt Van Slyke Eliza Van Slyke Helena Van Slyke Andrew H. Van Slyke Samuel Van Slyke Elisabeth Van Slyke Angelica Van Slyke Hannah Van Slyke William Van Slyke Esther Van Slyke Catharine Van Slyke
A good way to distinguish between individuals of the same name, born around the same time in the same location is to look carefully at the names of their children AND who they used as sponsors at the baptisms. The Dutch used family first, friends second as bpt. sponsors. Siblings tended to sponsor for each other's children (so don't just look at ONE individual's children, look at the siblings too).
Also, many still used the Dutch naming pattern (first 2 sons after the grandfathers, first 2 daughters after grandmothers).