Hello! I just came across this old post of yours. Levi Shaw was also my great grandfather. He is the father of Mary (James' younger sister and your great aunt) who is the mother of Paul (Evan's first cousin) who is my father. That makes you and I second cousins. My search for data on the ancestors of Asa Lonson Shaw has yielded nothing. But did you know that his wife (our 3rd great grandmother) was a Mayflower descendant? I believe his name was Asa Lonson, not Alonson, because Elias' middle name was Asa and Levi's middle name was Lonson.