Finally an update! The rest of 2019 was a busy time for me and nothing got done on my lathe project. Today I finally got to install the motor/gearbox assembly into the machine as well as the braking resistor bank.
In the build-up to this point, I had acquired a used gearbox and pulley. The sliding gear of the gearbox had to be adapted to work with the motor I bought. I sleeved it with a diameter 1.5" x 1/4" 4130 tube - welded and bored to fit with a keyway. I designed and made an adapter plate. After some fiddling to get things to line up properly, I think it turned out pretty good.