A little more information, to go with the photos.
All the critical pieces(with one exception) move freely: wheels spin freely, the tailstock extends (and retracts!) smoothly, and all the set screws move as they should. The exception is the one of the bearings in the headstock. I'm also not sure about the headstock: the drive center (I think that's the right name?) looks like it ought to be removable, but doesn't shift under light pressure. Unfortunately, there is no bed. It looks to me like someone detached the smaller parts (headstock, tailstock, and tool rest), and put them in a box along with the posts and pieces to attach them to a bed, and then lost/gave away/threw out the bed. Given the size, I'm figuring to build a bed to mount on an old treadle sewing machine base, and use it for tool handles and other small stuff. It was clearly originally belt drive, and has two sizes of drive wheel for different speeds.
Spinning the head at low speed there's no visible wobble, but of course it may not show up until it's spinning at higher speed.
There's definitely more rust than I recalled, and possibly some paint. I've been unable to find any maker's mark on it, so I have no idea who made it, where it came from, or when it was made. I picked it up when I saw it on etsy for something like $45, listed as "Victorian Lathe Parts". At that price I figured it was worth the risk, since the seller said all the parts moved nicely. That was a year ago, and I'm just now getting my act together to do something with it.
Anyway, on to the photos! My lighting wasn't the best, but here's what I was able to get quickly.