You will need to find out the thread size on the Craftsman lathe. I started with a Craftsman lathe built in the 1970's. It had a different thread configuration and had a #1 morse taper. Most of the newer lathes have a #2 morse taper and a different thread configuration on the head stock. You can buy an adapter for the threads to allow you to use a wider variety of chucks. Just do some exploring on the web.
A good place to start would be Penn State Industries. They have reasonably good quality tools at decent prices.
