Hello Frances.
Let me see if I follow. You think the William Corkill (husband of Alice Cannon) is from a second marriage of his father William. That father William was first married to Margaret Lewneyf who died in 1710. That 1710 will has a 1738 acknowledgement attached to it that suggests that William (husband of Alice Cannon) is a child of his father William's second marriage. If I have followed correctly, this could help explain how he came in of the funds to buy the house on Sand Street in 1741. No?