I am alarmed that you are getting a Zing...the machine is prone to wiring shorts and they are hard to find. The motor should not smoke at all. I suggest that you not use it until you find the short, and I'm sure there is a frayed wire somewhere. I don't want to see you hurt so please look for it.
You may have to take off the bakelite at the rear of the machine. It is one or two screws. Note were the wires go because they can break easily. Inspect the wiring all the way to the motor. I am sure you have some very bad wires. Keep us informed.
PS...thanks for the nice thoughts.