The only thing we have to substantiate our Jeremiah to your Alpheus is a genealogy query which was published in a newspaper called "The Boston Transcript" in the 1930's. As far as I can tell, no one ever answered the queries (there were at least two) wherein the person with the initials J.C.W.N. writes and asks about the parentage of your Alpheus and my Jeremiah. He lists their wives and children and asks if anyone knows anything about them. I will email you with the exact query, if you like.