I'm not sure if you were asking me or asking the Richard Ferrell, who made the original post. I found two different Nathan Ferrells -- or at least they appeared to have different family members -- in different census years in New York at FamilySearch. That was before Betty Fox posted the info about possible parents' names listed at Ancestry, so I was looking for some information to narrow the search.. I didn't have anything but the name Nathan Ferrell and the birth year 1808, and I located at least two Nathans who fit that information.
As far as I know, if the lead posted by Betty Fox is correct for this family, you came up with the right information.