Looks like a modern steak knife.
If you want something to look like it's from the time frame, look for a common butcher knife with wood handles and a carbon-steel blade and no markings.
It would have been the most commonly-seen knife in existence on the Frontier - being traded for during the Fur Trapper Era, and being available from any Hardware or Dry Goods store, as well as from Sutlers.
Literally everyone found a use for one - far more than the massive Bowies and Arkansas Toothpicks one sees at matches - simply because they were 'usable' for pretty much every chore that would require use of a knife.
That's not to denigrate those other knives, but they belonged to an earlier era when single-shot pistols were common and a side knife was the second line of defense - once revolvers made the scene in profusion, knives got a bit smaller and handier to use for other, more mundane chores.
Go to your favorite search engine and look for 'Green River Knife' or 'Skinning Knife', and you should be rewarded with examples.
These were often available without handles because more would fit into a barrel, and because putting a handle on wasn't/isn't difficult, and many Indian blades will have rawhide-wrapped handles.
You'll find them at 'Crazy Crow', 'Track of the Wolf', 'Dixie Gun Works' and even at garage sales and estate sales - just look for the ones without hilts.
The sheaths carried them 'deep', too - so look at Indian-made sheaths to get an idea.
Scouts Out!