Bobert,
It's tub. I'm trying to remove one handle.
There isn't a shut-off for the tub.

Maeve,
The habitat resale stores look like they're a distance from me, but I'll sure keep them in mind when I get up to my elbows in switching the bathroom to a different room. Thanks!
I think it's nice for that swan faucet to modestly cover itself..neat looking thing!

Bill,
I'm in the US.
Thanks for those Central links. I'll look them over and see if I can find anything about the style I have.

Don't think I know how to take pics of the inside of the handle..since I can't get the dang thing off yet.

999's vinegar treatment has at least made the handle slimy..maybe that's what it needed all along. (especially the beer)