“White man even gave them the horse”
I was under the impression that horses crossed over the Bering Land Bridge along with the early inhabitants of the Americas.
I’ve read that they didn’t have the wheel although an archeological dig in central American reveled a toy cart complete with wheels!
My understanding is that primitive horses and some other land mammals were hunted to extinction by the early inhabitants and runaway Spanish horses gave the Indians their mounts. Wikipedia even says that some horses native to the Americas went the other way over the land bridge, but this is the first I've heard of it.
The horses escaped during the Pueblo Revolt in 1680. “Popey” tried to have all thing Spanish killed but enough horses got away to begin the vast wild horse herds.