Hello--it is very likely that your Lemuel Gay is connected to the descendents of John Gay of Dedham as Lemuel was a VERY prevalent name in the family. I'm descended from a different Lemuel from this bunch. I would really encourage you to get a copy of the article "David Gay (1739-ca. 1815) of Onslow, Nova Scotia and Lincolnville, ME which appeared in the National Genealogical Society Quarterly Vol 67 June 1979 pp84-97. Article is by Robert Anderson and is GREAT for sorting out this complicated family. I have the article retyped and can copy it into an e-mail if you give me your address. Hope this helps.