"Usually" they do not....Well! 1930s 'ministeriale' is good, makes it an early model Trevor James Alphasax!
pre-1920s is even better.
Would a misteriale horn have some sort of indication of what it was?
I get your question, like maybe somewhere it would have been stamped with the civic body/band it was used for...the way some old American horns are engraved or stamped "USMC" (Marines) or "NYC Board of Ed" and the like.
I quote "usually" only because I have only held two ever in my hands (clearly different factories having made 'em) and seen maybe photos of a half-dozen others....none of which I can recall having any such signifying marks.
Yours is a toss-up, in my eyes. It COULD be older than 1920's...or it could be an early Ministeriale ....