Where can I find a Lathe for underneath 200$?
Try online:Wood Lathe
you are not likely to find a fitting one for that price unless it is used...you should search for midi-lathes and see how close you can get to the 200 dollar speck...
Are you talking wood or metal? Big or table top?
I found my Shopsmith at a garage sale and bought it for $60. Perhaps try Craigslist, or the cheapest place to find a contemporary one is probably at a place called Harbor Freight.