I'm not sure what I did wrong, but the photos didn't show up in the post, they are attached. Maybe it was because I posted from my Ipad?
I bet Steampunk Steele would probably know something about this lamp!
That's a Johnson Industries model from the 1970s. Johnson models didn't have names. They also made a floor lamp, with a circular glass table mounted just above the rain lamp, and a swag model with three long chains, starting above the lamp, suspending a circular glass table below it.