I am not directly descended from Abraham, but my ancestor Harmon Cook came down from PA at the same time and married Abrahams daugh. Catherine but they had no issue. What intrigues me most is Haratio Aron/Aaron that I have found on several census records and is the same one you mention, what I would like to know is what sources you used to connect Haratio to Jacob, son of Abraham. If this is authentic than I can tell my cousins that we are related through marriage 5 generations back!! What a hoot!