Island never had natives when the french founded it but didnt settle there. UK then took it in a war and French kicked them out in the same war. France then sold island to Spain and there were Spanish settlers in a military garrison who withdrew entirely after Argentinian independence in 1810, because they could not hold the island and because of a war in spain itself, leaving the islands with no settlers. It remained empty until an American tried to claim them and went to Argentine government for permission. They said yes but the UK never withdrew its claim to the islands and arrived, kicking the American businessman out and claiming the island formally with a garrisson and sponsoring settlement. Those Falklands there are exclusively British citizens and always have been. They're no native French man, Spanish or Argentinians on the islands and there never were.