Upvote:3
It is highly unlikely that the British Virgin Islands are considered part of the UK by the USA government as the UK does not consider them part of the UK.
The United Kingdom also manages a number of territories which, while mostly having their own forms of government, have the Queen as their head of state, and rely on the UK for defence and security, foreign affairs and representation at the international level. They do not form part of the UK.
They also issue their own passports as an separate territory.