I'll try to describe it. This was in the house next door. It was a chrome fluorescent fixture in the bathroom about 24" long. On one end was a rotary switch, the other had a brown 2 prong outlet. One day I was at the house when someone was working on it, and the light was on top of a trash can. They said I could have it but my mom wouldn't let me had it. I've never found another one, and I don't know what brand it was. I guess it was from the 50s maybe?

The other bathroom had a Porcerlier porcelain fixture with a dome shaped shade pull chain and outlet. I've seen some of those on eBay. I actually still have the socket for that fixture, I wanted the whole thing. They were going to save it for me but it got broken when removing it sadly.

I have one very similar to that but the outlet and switch are on the same end 

Not exactly. The one I saw didn't have any kind of cover on the bulb.