CarolC: we seem to be discussing completely different things. Whether Miquelon is part of the continent of Europe, or Hawaii is part of north America, is one thing. Whether they are currently in some kind of political union with(or subjugation to) a country in some far away continent is a different question altogether.
I think (as McGrath has mentioned) you will find Tahit(or somewhere thereabouts) is also part of France. But I think you would be hard put to argue it is part of the continent of Europe, as it is in fact part of Polynesia in the Pacific Ocean.