English law is basically that your legal name is the name you are known by. For things like bank accounts and utility bills you need to demonstrate that this is so, and there are a number of ways of doing it; one is to put a notice in a newspaper saying "From now on I X am to be known as Y" and take that along to the bank etc. The posh way is to do it by deed poll. In any case, if I decided that more people know me as "Sollers" than anything else, it would be no big deal to do something about it. And if I could show that that was indeed what I was mainly known as, that would be that.