Aside from the date marks you suggest (which I agree with October 1924) and the obvious Nitro Proof Marks, I don't know much more about the gun you're describing.

However, I do know that the europeans and the Germans in particular built a LOT of "guild guns." These are guns that were built as an apprentice's project while many othes were just built by local gunmakers with no name on them and/or very little "Branding" (in the sense that we're used to seeing on modern guns) of the maker's name on the gun.

So a local "gun maker" would buy a set of barrels from the local barrel maker that supplied them to the "trade"... an action from the next guy, a piece of walnut, etc...

the good new is that most of these guns (despite the lack of a clearly indicated maker's name) were very well made guns.

"Bemesu" may have been the maker's name, or the type of steel, or may have been the owner's name that the moon-lighting gunsmith made the gun for!?

Either way, it sounds like a nice gun. But you should also be prepared to find out very little about it's origin as this type of gun-making was very common.

Good luck!