The oldest settlements and bodies found in North America are from white Europeans and by significant time differences from oldest "Native" remains found. Natives didn't sprout up there - they migrated. The still don't predate Europeans on the continent. By your own logic, all of NA is white territory.
Whites also settled the land. That's why they are called settlers. They build towns, cities, roads, tamed the wilderness and made the continent liveable. They became colonies of Britain, but the people were settlers. Natives didn't even have the wheel or permanent settlements and were constantly killing each other.