I am not at all familiar with a Ruth Moon b. 1740 in Exeter, R.I, who married Stephen Howard on April 28, 1765 and later married Potter Hammond. Also, I am not familiar with Ruth Lawton or do you mean Isabel Lawton? I would appreciate your sharing with me the sources for your information.
By the way, Alden G. Beaman, Ph.D.,in his "Rhode Island Genealogical Register" Vol 1, No. 1, pages 30-37 wrote an article entitled "A Line of Descent from John Albro of Portsmouth."Perhaps you have seen it, if not you may find it helpful.