When Asa Kimball was born on 25 April 1741, in Concord, Merrimack, New Hampshire, United States, his father, David Kimball, was 39 and his mother, Mary Willson, was 31. He married Mary Eastman on 25 November 1761, in Concord, Merrimack, New Hampshire, United States. They were the parents of at least 7 sons and 3 daughters. He lived in Rockingham, New Hampshire, United States in 1790. He died on 18 May 1804, in Concord, Merrimack, New Hampshire, United States, at the age of 63.