Scratching the surface of Royal Navy names gave me three good ones:
HMS Adam and Eve - Two ships named this, one a hoy, the other a stores ship.
HMS Black Joke (no joking!) - Two ships, one an armed lugger. the other a captured slaver.
HMS Broke - Two or three named this, two of them were destroyer flotilla leaders. This beats Hull as far as looking funny on the transom.
I'm going back to look for more, the Brits have had so many ships that the odds are high to find a bunch of good ones.