Most contemporary accounts describe the indigenous Reds encountered by Whites as having dogs, everywhere in North America, from very long ago. Modern genetic studies bear this out as a likelihood.
https://en.wikipedia.org/wiki/Native_American_dogs Apparently, most of these dogs were extinguished with their human companions, (and the resident wolves, etc), but a few - the Carolina Dog perhaps the best known possibility in the Lower 48 - may still remain.
http://wunc.org/post/carolina-dog-native-north-america-new-science-says-maybe#stream/0
I haven't encountered this information, but it certainly makes sense.
DNA analysis of modern wolves and dogs, as well as the occasional discovery of a well-preserved specimen from long ago, indicates that the dog,
Canis lupus familiaris, split off from the wolf,
Canis lupus lupus, about 30,000 years ago, when our ancestors were still nomadic hunter-gatherers. The usual explanation is that the lazier members of a wolf pack couldn't resist the piles of perfectly good food that humans threw on the ground (we call it "garbage"). Humans tended to tolerate that since it made their camps less stinky, not to mention the dogs running off other scavengers which we really don't want living near our babies. The wolves soon realized that if they didn't try to eat the humans, they were welcome to hunt with us.
Dogs don't have the stamina we have, so they can't chase prey for as long as we do, but once the prey is cornered, their teeth and claws make short work of bringing them down.
Dogs are a social species like humans, and they typically obey the orders of the pack leader. A human with his size, cunning and fabulous hunting tools would easily have been appointed pack leader.
The first (successful) human migration to the Western Hemisphere occurred roughly 10,000 years ago. By that time, virtually every human community on the entire planet had dogs (except, possibly, the Native Australians)--which by now have specific differences from wolves, both physically (they have smaller brains so they don't need as much meat in their diet) and psychologically (they form much larger packs than wolves and are quite happy to let a human be the leader).