'Children of Sergt. Thomas and Hannah (Hills) Kilbourn, born at Hartford, Conn.: ... Naomi, bapt. 4 June 1693; d. before 1725; m. John Abbe, b. at Salem, Mass., 4 June 1692, d. at East Hartford, 30 Oct. 1790, son of Samuel and Mary (Knowlton) Abbe.'
The marriage information appears to be a confusion with his cousin John Abbe (son of Thomas and Sarah), also born in 1692, who married Hannah Boardman, as indicated on page 14 of this source.