Here is your Esther's baptism. You are correct, she was a Van Slyke
Records of the Reformed Protestant Dutch Church of Middletown (now Mapletown), 1803-1901,
Baptismal Date: 08 (Mar) 1816 Father: Peter Van Slyke Mother: Elizebeth Barhuyt Child: Esther Birth Date: 12 Oct 1811
I have traced your Esther/Hester back to Willem Pieterse Van Slyke who was the nephew of Cornelis who married Ots-Toch the Mohawk Woman.
There is a book about Willem Pieterse and his descendants called "New Netherland Settlers: Willem Pieterse Van Slyke aka Neef - A genealogy to five generations of the descendants of Willem Pieterse Van Slyke who settled in New Netherland (New York) in 1660."
published February 2005. 198 pages. 8.5x11 Coil bound
Pieter Willemse Van Slyke 1660 - 1735 d in Albany Co., New York +Johanna Hanse Barheit 1660 - 1741/42
Pieter Pieterse Van Slyke 1700 - 1731 +Engeltie Jochemse Van Valkenburg (btw I am a Van Valkenburg descendant too and can trace your Engletie back to the immigrant ancestor in New York. We share Engletie's parents Jochem Lambertse Van Valkenburg and wife Eva Hendrickse Vrooman. See my website for more info