I'm by no means an expert on hats, but to me the shape looks late-USSR. Can you give us photos from other angles? Are there any labels inside?
Didn't take any other pictures except this one. There are no labels on the inside, just a diamond of fabric sewn into the lining.
Poor quality might also indicate it was made during wartime or some other financially stressed period.
I'd think there would be some
indication of what country or manufacturer, though. Maybe not.
School band or drill team, perhaps?
Neither of the two schools here wear anything remotely like it. But considering it's at a thrift store, it's probably a long way from wherever it was made.