Hi Martyn
Welcome to Rootschat - you will probably find it worthwhile making another couple of posts, as you need 3 to use the PM function, which is often useful.
I am very definitely a "Belgrave" Pole, but like you, I think they are interconnected, and certainly the Scarborough name derives from the marriage of John Pole and Rebecca Scarborough in 1702.
I assume your Francis is in Stamford Street in 1841, lodging with Bingleys in Brunston Gate in 1851, before appearing in Oldbury in 1861 - each time with a different spelling of Pole. Ironically, this thread was started by a contact from a descendant of Francis' brother, Thomas, who believed their parents were Charles Pole and Elizabeth Eames. To my satisfaction, I have disproved this, but at the same time disproved the connection of Charles Pole and Elizabeth Eames with my tree. Yvonne, who I also met on here, kindly gave me a copy of a paper family tree produced in the 1980s by her uncle, who researched the details at the Records Office which takes us back to before 1600. I have produced a database of Poles from the IGI and Phillimores, which all seems to hang together and confirm the details.
The Poles certainly generate a lot of questions, often taking a while to answer - my latest is "Who was Thomas Pole, Coal Merchant at 27 Checketts Road in the 1908 Kellys. In 1891 there was another coal merchant there, and by 1916 my Grandfather, William Wright, Joiner was in occupation." As he was married to my gran, whose father was Thomas Pole b.1840, there appeared to be an easy answer - but "our" Thomas appears to have died in 1903 and was always an FWK!
Just another mystery to solve!
Richard