You clearly don't need a lathe to make a lathe. Like everything else that has evolved, we got closer to modern lathe by slow degrees.
It's not as simple as Cursitor Doom thought I was suggesting - he is remarkably dim.
Vaucanson's lathe is one of many relatively small steps that got us the metal-working lathes we have now. Castings are a lot older that that, and there's a Greek astronomical calculating machine that got fished out of the Mediterranean after a couple of thousand years immersion that included meshng toothed wheels - which is to say - gears.