Just saw this -- when you say "a but of touch-up paint," where do you stop? I think you will find that fresh paint next to old paint doesn't look great, and you may want to paint over the old paint, and then you find yourself painting large areas.
So think long and hard -- can you live with it as is? Not that old typewriters is anything comparable to old furniture (and for sure doesn't come anywhere near antique furniture in value), but in that world, the worst thing you can do, it seems, is refinish it. That seems to be the case with other antiques too. Again, we are dealing with items that don't have anything like the resale value of antique furniture (or vases, or firearms), but the general philosophy seems to be "leave it alone."
Having said all that, if you think you want to proceed, then I think the first step is to clean up the typewriter as best you can, so that you get a sense of the finish. Age may have dulled a glossy finish to something more "eggshell" or "semigloss" (we just painted our house; can you tell?). So step two becomes one of matching the glossiness of the finish, so that touching it up looks seamless.