I show that the other three children of John Yeamans and Mary Walker were Elisha born in 1733, Walker born in 1735, and William born in 1737. Elisha and William were also born in Dutchess, New York. I am not sure how accurate this is but I show that Walker was born in the Barbados. He was named after Mary's family. I have no other information on Daniel other than his birth, 1739, year and parents.
I don't know if this helps or just confuses the issue more.