I'm pretty sure John Randal's mother's name was Sarah who was married to Thomas BULL, Jr. b. 1726 d. 1793 and whose father was Thomas BULL, Sr. married to Susannah (?). This is from "The History of John Bull" by John Arbuthnot. I don't have a copy and don't even remember where I heard about it. Do you have Hannah Harvey's (wife of John Bull Randal) line?