Incidentally, how I think the two Samuels are connected.
It’s connected to this site that you may have come across
http://homepages.wmich.edu/~rudged/gen/srudge.html It refers to William Rudge (born c.1757), who “appears to be the William Rudge who married Catherine PAINE on 15 Jun 1783 at St. Martin, Birmingham, Warwick, England” and identifies three children from their burials at Smethwick.
More children can be identified from baptisms at the same church, including Samuel, who was born in 1789. This Samuel is the one who married one Ann Lightburn in Harborne in 1815.
My theory is that the Edward Rudge who married Mary Ellis and settled in Sutton Coldfield is the same Edward Rudge that was born in 1754 to William Rudge and Isobel Cooper. That would make him the brother of the 1757 William Rudge, and thus make our two Samuels first cousins. Proving it is another matter!