There are variants of the surname: Teachout, Tukout, Duchant.
I believe that Gideon Teachout (ca. 1763 - bef. 1840) is the father of David. I have created several profiles for this family, if you are still interested. Here is David's profile: https://www.wikitree.com/wiki/Teachout-240
I have included what children I could find, along with some in-laws of one of the children.
I am unsure about the identity of David's mother.