Flaskback. Well, how good looking is that!!? Thanks for posting that pic.
I am currently sorting a pile of BSA Gearbox Internals, some of which turn out to be pre'48 B & M. If it's all working I'd say leave that gearbox well alone! Compared to the later A10 Plunger/S/A boxes it looks like the designer was paid by the hour and spun the job out. Talk about complicated, over engineered and a production engineer's worst nightmare, but you can see where the Orientals got the idea of selector forks on a rotating stick. And you need three hands to put it back together......The later design is certainly a cost cut exercise, and far simpler in terms of design and the number of parts required.
You machine is indeed a nice survivor and something a little different.
Swarfy.