Wells was born in Trenton, New York, a member of the sixth generation of his family in America. His original immigrant ancestor was Thomas Welles (1594–1660), who arrived in Massachusetts in 1635 and was the only man in Connecticut's history to hold all four top offices: governor, deputy governor, treasurer, and secretary. Wells was also a descendant of John Webster, fifth governor of Connecticut. A few years after the death of his father in 1826, Daniel H. Wells left New York with his mother Catherine Chapin Wells and his younger sister Catherine C. Wells and moved to Illinois.
