I would think this motor would be capacitor start, which would not have a start winding like a shaded pole motor. The capacitor will be mounted on the motor and readily accessible to test and/or replace.The capacitor will be on the outside.
A more likely cause of your problem is a stuck start switch.
I will try that. I have been so busy after I posted I haven't had a chance to get back to it. It ran once after I bought it and has just hummed since. I don't really need this saw bought it as a backup. I have a modern 14" Craftsman and a 12" Grizzly. I just hate to have anything that doesn't work. (reminds me of one of my kids)Have you tried oiling the bushings? I have a 1959 craftsman table saw and had that problem. Mine has a capacitor though. I oiled the bushings and worked the motor by hand, did that a few days and that took care of the problem. I did replace the capacitor first thinking that was the problem but that didn't initially fix it. My motor had felt packing to hold the oil.