When Darius Cone was born on 5 September 1800, in Guilford, New Haven, Connecticut, United States, his father, Solomon Cone, was 43 and his mother, Hannah Richmond, was 21. He married Betsey Webster Parmele on 6 December 1825, in Rochester, Monroe, New York, United States. They were the parents of at least 1 daughter. He lived in New York, United States in 1870. He died on 10 January 1882, at the age of 81.