All the above are correct, I incorrectly assumed it was similar to United, but I hadn't ever bothered to find out. I was a bit flummoxed when someone asked me.
Brighton and Hove Britain doesn't really make a lot of sense does it?
I was in the pub the other day when a woman I was sitting with asked me what the word "albion" meant, I realised I had never really thought about it, or bothered to find out.
I told her what I thought and then checked on Google and realised I was completely wrong.
Without checking Google did...