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Harold, I checked the 1850 census for both NY & Barry Co.,MI. I looked at all the Durham & Dunham families in Cortland Co. but there was no Asa there. I found an Asa S. Durham, age 17, b.NY, living with a large Thatcher family in Hopewell, Ontario Co. NY., pg. 231. Two pages previous is a James Durham, age 50, with his wife Sophia, 44 & five daughters: Elizabeth 17, Mary 14, Harriet 13, Sophia 10 & Ellen 3. Everyone in the family was born in NY. James occ. was listed a M.E. preacher. Perhaps you can tell if this family is yours.