I have a Benjamin Adams who was born 23Jun1803 in Newburyport MA. His father was John Bodily Adams, a sea farer,who had emigrated to the US from Ireland. Benjamin married Mary Ann Armstrong (from Shelby Co, KY)in New Albany IN in 1829. Can these folks be related to your John and Elizabeth Morse. Note similarity of location and given names. I have some more info on descendents if there is a matchup here.