Two days ago, just before the light switch in the big bathroom blew ("No, you don't need to see in order to pee. Just go."), I put Little Guy in the tub. Oddly enough, the 1934-era drain didn't seem to be plugging up the water. I jiggled the handle (it's a long, tube-like thing), and it came off in my hand. The pipe had broken clean at the bottom.
The plumbers arrived today. Yeah, plumbers! Well... let's dampen that enthusiasm a bit. They came.
They say they'll be back in a few days. But at least the tub and shower are usable again. And the super fixed the light switch, so next time the plumbers won't be working in the dark.