I've done a little research on Luke & Betsey Chapin on Ancestry and found some census records I'm sure you've already seen, but I thought I should let you know about the family anyways just in case I can help. 1850 Fed Census of Preble, NY shows Luke (39), Betsey (36), Asa (15), Amanda (10), Jane (8), John (6), Mary (4), & Lucetta (1). 1855 Truxton, NY Census shows Luke (44), Betsey (41), Lorenso (20), James (13), John (11), Mary (9), Lucetta (7), Charlotte (5), & Alvin (1). 1860 Fed Census of Morristown, MN shows Luke (49), Betsey (46), Jane (18), John (16), Mary (14), Lucetta (11), & Charlotte (9).
So the family is Luke & Betsey with at least these children: Asa, Amanda, Jane, John, Mary, Lucetta, Charlotte, & Alvin (died young).
Maybe you can find the other families from the children. More importantly, there are AT LEAST 5 DIFFERENT TREES on Ancestry with Luke & Betsey in them, but they are all private, so I can't see who is in them.
I'll keep digging for you!