As I pointed out in a similar thread recently, Tierra del Fuego - which is the province the Argentinians claim the Falklands belong to - did not even officially and legally become part of Argentina until 1990! In 1861 they and Chile agreed on the division of Tierra del Fuego between them but still they almost went to war as late as the 1970s over it.
Both these dates are perfectly clearly long after the British settlement there was firmly established. In the days when exploring countries were discovering the world and claiming lumps of it, the British were first to land there in 1690. In the 1760s, the French settlement and the British one were there simultaneously and, apparently, for some years neither was even aware of the other's existence! The French simply had no right to "sell" the islands to Spain and so their transfer to Argentina had no legal standing either.
The geographical argument is, of course, absurd. As regards the Isle of Wight, a far more relevant 'local' illustration would be the Channel Islands. These are just offshore France, but they're British. Yes, we gave up on them during World War II when fighting for our very survival, but they're still "ours" now, aren't they?
The Argentinians whine about colonisation, but that is precisely what THEY would be doing to the Falklands if they got sovereignty. The whole current hoo-haa is ridiculous.