The head is similar to some of the early Craftsman mini hatchets made by Vaughan, but the poll is a little bit more square on this one.
It definitely looks like it was probably produced for or in conjunction with a knife company as part of a combo set.
Could be a knife company or a department store, honestly it's anyone's guess.
I know imperial offered a mini hatchet in a combo set which of course they didn't manufacture themselves, I've only seen sketched catalog pictures though and never an actual photo so I don't know what they really look like.
I don't use the word often, but I say those sets are pretty rare.
This probably isn't from an imperial set, but definitely something similar.
If only it still had whatever knife came with it.