Photo is Long-Eared Owl
I looked it up, to some extent. Did not cover all North American owls.
The very common Great Horned Owl does not migrate at all. They lay their eggs in January, wherever they live.
The common (but rarely seen) Long Eared Owl does move down from its northern breeding range in winter as does the tiny Saw Whet Owl.
Screech Owls tend to stay put.
The Short-Eared Owl migrates widely from its breeding grounds on the tundra. I've seen them on marshes in winter in New England.
The arctic Snowy Owl is famous for its occasional irruptions south. I've been lucky to see them a few times, mostly on beaches but once on the roof of a suburban house.