And, of course, the map of the various tribes would have changed from time to time. Immediately before white settlement, a Siouxan tribe, the Osage, had driven all other tribes out of the area in which I live, converting it to a virtually deserted “hunting preserve”.
Pre-settler Kentucky was much the same way, having been depopulated by powerful Ohio Valley tribes.
More easterly tribes eventually drove the Osage into Oklahoma, then, under settler pressure (there was some intermarriage) moved on themselves.
As I mentioned before, the Comanche, a tribe from the Rocky Mountains and related to the Utes, drove the Apaches from the southern plains. The Sioux and Cheyenne drove other tribes out of the northern plains.
While there were some tribes that held more or less constant territories for some time, the whole thing was in flux, depending on who won the last inter-tribal war.
Europe wasn’t much different for a long time. Earlier (likely Mongolic) people were driven out by Iberians, who were then conquered by Celts, who were then conquered and Romanized by Romans and their various allies, then significantly supplanted by Teutons, Avars, Magyars. Formerly Teutonic lands became Slavic. On and on.
There is no “single photograph” of the “homelands” of various peoples until relatively modern times. Before that, it was all a “moving picture”.
Even the Aztecs themselves weren’t “originals” in the Valley of Mexico. They were relative latecomers, probably from the Pacific coast of Mexico. They did call their semi-mythical place of origin “Aztlan”, but that Aztlan certainly didn’t include the American southwest, the actual occupants of which would have mightily contested any assertion that it did.
Nor do linguistic similarities determine cultures or nationalities. If it were so, then Finland and Hungary and Turkey would all be one country.