V
Vale
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Well from Picard's language and mannerisms we could assume that England at some point between now and the early 24th century conquers France![]()
It would have to be the United Kingdom. England is not an independent nation state. Though the way things are going right now...

As a Constitution-Class ship she was likely launched sometime prior to 2245, whilst Spock (the first Vulcan to enrol) was at Starfleet Academy sometime around 2250, so she wasn't likely to have an all-Vulcan crew until much later in her service.
While it's even quoted on startrek.com that Spock was the first Vulcan to enrol in Starfleet, it's never been confirmed in the show itself. Indeed, the existence of the Intrepid herself seems to suggest otherwise.
With her platinum jubilee fast approaching and reaching such a milestone would good old Lizzie get a ship named after her, or would they have to have the Queen Elizabeth I first before launching the Queen Elizabeth II?
It would just be the Queen Elizabeth, as with the current British flagship (which is actually named for Elizabeth I, not the current monarch). The Platinum Jubilee technically happened in February (the 70th anniversary of the Queen acceding to the throne), though the celebrations won't happen until June (the 69th anniversary of the coronation).