That is a dead ringer for my Ames #3, but mine has the name cast into the front, and the feet are slightly different. Mine is right next to me, so it really is that similar, clear down to the toolpost and handles. My headstock and tailstock are the exact same green, but the bed is black. I even have the same sized Jacobs chuck in mine right now.
I looked at the collets, none of them say what they are. I want to say 3EJ, but a quick google search says that probably isn't even a type of collet. They're the same as my P&W #00 mill, but that's probably not too helpful since the P&W was made with a couple of different types of collets. Oh yeah, the Ames drawbar uses external threads on the collets, the P&W uses internal threads. Between the two machines, I have collets that are threaded on the inside, outside, and both.
The top of the bed looks square on that lathe. My Ames #3 has a Hardinge style reverse dovetail bed. Are the headstock and tailstock keyed into the bed slot? My P&W mill headstock is like that, otherwise it's just like one of their bench lathe headstocks. I wonder if the lathe you're looking at has a non-standard bed so it could share parts with one of their mills?
It's a good little lathe. I would guess that the compound would sell for about twice what the rest of the lathe would, and you'll probably pay more for a complete set of collets as you will for the lathe. But it's worth it.