> I'm not sure if they still can do it, but the English made nuclear submarines.
Not really. The Polaris and Trident SLBM systems as well as the nukes they carry are US designs that the UK is allowed to use. And while their current PWR2 reactor is a British design, it is lacking. Therefore the next PWR3 design will be based on US S9G reactors.
The Trafalgar class were nuclear attack submarines made at Barrow-in-Furness shipyard in Cumbria. The current Astute class were also made there.
A nuclear submarine is one with nuclear propulsion, not nuclear weapons (just like a diesel-electric submarine is one with a diesel engine and batteries, not diesel weapons).