I just went through a similar drill with two old GE motors. One never worked and the other shorted out with magic smoke when I plugged it in. Oh well.
One thing I did learn, was/is to check the 'groves' on the surface of the coil. If they are worn near to smooth the motor won't have any life left - better to throw away and replace. I guess you can take a file and deepen the grooves to extend service life, but it didn't work for me... Doesn't make any sense to,spend time and money if the core is at the end of its life span.
The other thing is, if you want to restore to original design, maybe pick up the two motors you mentioned and keep them on the shelf for when you might need them in the future.
Regards
Glenn