I appreciate everyone's comments. As far as dating it, pretending the 1887 date were not there, or considering normal aging, I would look at some of the drawings.
The cabin has a large stone chimney on one end, in the English and Scotch Irish (not German) style. It's substantial in proportion to the cabin. A woodbunker at the other end, or other fixture, could help date/place.
The man is wearing leggings or perhaps high boots. A coat with pockets, and a powder horn. It's an "advanced" perspective from behind quarter, not the usual stick figure shooting left or right.
The "pinwheel" or "quilt" pattern circles with interlocking designs should be familiar to someone as iconography of a region. I don't know what, but I've seen some like them before on quilts and barns.
The fish should help regionalize. One is a Salmon or a Trout. The other I'm not sure.
The birds are ducks, geese, and possibly seabirds.
It's mostly nautical items around the bottom, a sailboat and lighthouse under stars and a crescent moon, points down, over the boat. Fish and waterfowl in several places at the base level, and going up. The man with rifle and the date are darkly enscribed, as are these features. Other features like a bear, dogs, and deer further up are very light, with a different color ink perhaps. Then at the top are 3 of the "interlocking circles, spiral, whorl..." circles. Hard to figure a date out of all that. Lighthouses were built all through the 19th century.
But the region that had small boats with jibs, lighthouses, bears, Salmon looking fish seems New England up to Maine to me. Not Alaska or the Pacific Northwest. Not the Southeast.
All this iconography could have been seen and carved in 1840, or 1940. I'll have to go with 1887, the date the artist put on the horn.