I'm not a Brit, but I fondly remember B&B breakfasts there when we hiked the Dales way... we never had to eat lunch.....
Bangers are just pork sausage links. We had everything from good to knock your socks off when we were there. We could swear that at one place the pigs must have been trotting around the night before - OMG, I'm not generally a big fan of pork or sausage, but these were exceptional.
The beans were usually very much like pork and beans, generally minus the pork. The sauce was generally a bit sweet, tomatoey and bland. The beans used were small white beans. I'm not sure how pintos would sit with the Brits. I get the feeling that few people actually make their own beans for breakfast. Canned ones are so common and inexpensive and making them would be quite time consuming.
We were never offered black pudding, though I think someone may have had kippers out....