Thanks Todd.. I have been looking at all of these replies and see that there is definitely an easier way. You're absolutely right.
Kate
I'm sure you could put something together with a sewing machine motor. IMHO, I'm not sure it's worth the effort. You can buy a used mini lathe or pen lathe for less than $100. I see them come up on Craigslist frequently around here and there's always eBay. Unless you were only interested in faceplate turning, there's going to be a lot more hardware required for a lathe with a tailstock, headstock, bed, etc and if I was in the market for such a machine, I wouldn't consider building it. Now, if your goal is to build a small lathe rather than have a small lathe, by all means build it. I'm sure someone here or in the woodturning group can point you in the right direction.
todd