Take the drums to a brake shop, at least one you've had experience with. That's their business. Let them know that those are originals and you do want to keep them.
Jim
Two things are "true" about original brake drums but the most important one is once you cut the metal away, it cannot be put back.
The second thing is that a perfectly restored "machined" surface isn't "required" for qualifying a brake drum to be used in most "CONCOURS" applications.
What I am saying is that many drums can be cleaned up by simply machining off any outer groove or rusty areas and follow that with a "rotating" type cleaning up of the remaining surfaces WITHOUT lathing off the metal itself.
Front Drums might be a bit more delicate for vehicles that are DRIVEN OFTEN. Rear drums are a bit more forgiving if not perfectly restored on the machined surfaced.
Another thing to consider on brake drum machining is that the "finished diameter" should be close from one side to the other, (especially on the front brake drums again, this applies more to DRIVEN vehicles with FRONT brake drums).
Be careful WHO YOU CHOOSE to get these machined.