Howdy Beau, I can not find any proof of children for Rev James Alexander. He died 17 November 1704 in Convoy and his will, dated 13 March 1702, and proved in 1704, he appointed his wife, Marion Shaw, the sole executrix. She died in 1771 and bequeathed her substance to her neice, daughter of her brother James Shaw, instead of any "children" of hers. Nor did she name any children as administrator of the will. For this reason I believe they died without issue. Both are buried at the church in Convoy.