I've managed to find some answers about Albert Ingham through documents (mostly found online) and family members.I'll post this data here, in case anyone else is interested in it.
Albert Ingham was the son of William Ingham and his third wife, Abby Dodge.William was the son of Erastus Ingham and Elizabeth Hutchinson.William was born in Connecticut, but moved with his parents to Massachusetts sometime after the Revolution.
William first married Betsey Smith on March 3, 1806 in Middlefield, Massachusetts.They moved away from Massachusetts sometime around 1815 with their two children, Betsy Maria and William Smith Ingham, and eventually settled in Cato, New York.
Betsy died in 1826, after which William married Myrilla Phelps, who then died in 1827.Shortly thereafter, William married Abby Dodge, who gave birth to Albert Ingham on 1828.
William Ingham died in 1832.His widow, Abby, lived until 1883.
Albert's wife was Cynthia Van Wie.I had previously suspected this may be her last name, because one of her grandsons was Albert Van Wie Ingham.He was apparently named in honor of his grandparents.