Four ships of the Royal Navy have borne the name HMS Chester, after the city of Chester:
There was also a planned Castle class corvette named HMS Chester Castle. She was cancelled in 1943.
A fictional HMS Chester appeared in the James Bond film "Tomorrow Never Dies". The interior shots are actually from the Type 23 frigate HMS Westminster. A Type 23 model was built for the exterior shots.
References
HMS Chester Wikipedia(Text) CC BY-SA