It may not be totally homemade but I don't think you'll find parts for it.
The only thing I recognize is the Sherline drive but that's certainly not a Sherline lathe.
For that matter, without a tool-post, what you have is a spinner.
It could be setup to do shaft cleanings, possibly T/Ds if you can figure a way to cut the ferrule.
Mount a foot-control and you could do linen wraps, leather and cork also of course.
Prep-sanding and finish work could be done also.
You've got under a grand in it right? Lol
KJ
that is a porper 1st model Q-lathe they work great for quick tip installs
have one use still in the shop today only thing ive had to do is bought timken bearings parts are get harder to get and now porper haveing all call go to mueller the last time i need a collet here is the link
http://www.muellers.com/Small-Adjustable-Collet,937.html
video on youtube
https://www.youtube.com/watch?v=I45OTBp13xY
Bump this up to the top.
Finally become honest with myself that I will never do anything with this.
So is there any interest in buying this lathe?
I do have an interest in it. How much and where are you located. Is the extention bar removable? I would assume it is but have to ask.
Before I had my trailer with a Mid America pro lathe in it, I used to have one of these that I would take onsite when I did tables at bars, clubs, diners and what not. Made for a fantastic additional service on top of servicing the pool table. I would Charge $15 to re-tip a house cue, or would give them a bulk price to re-tip multiples. Worked really well for that simple task and honestly paid for itself in probably the first 6 months I owned it.