This is absolutely correct. I know because I appear in my married name on the electoral roll , but my photo ID is still in my maiden name.
I went to the polling station for the Police Comissioner election, added complication that the Post office had not delivered my polling card. I gave my address, showed my driving licence, explained my name change. I had my marriage certificate but they didn’t require it.
So no need to worry, Dee ( except that is probably the worst news you could have hear).