According to the McCarroll Family History book, this Jeremiah was a son of James & Hannah Brady. It some family history in it. It also says that when Jeremiah died, James and Hannah took care of Jeremiah & Nancy's children. She had already died. The book does say a little about where James Brady came from (Randolph Co, NC). Not sure who the Jane McCarroll might be, a relative of Nancy I suppose. The McCarroll book is not indexed or I could probably tell.....
Mike