MisDixie,
A small suggestion; if the cords are not cut through and you can remove any connector to gain access to the cord, slip some heat shrink tubing over the cut areas and heat it. That will protect and reinforce the damaged areas.
Heat shrink tubing is available at most hardware and auto parts stores.
Looks a lot better than tape.
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JoAnn,
If the motor doesn't work and you've tried several controllers then you've got a broken wire somewhere. They are not complicated but do require some intuitive investigative work. Why does this not work? What does this or that do? Where does this wire go and what does it do?
As to the availability of the three prong connector check Sew-Classic, she has them. But unless it's broke it won't be the connector.
Diagnosis is needed here, not just replacing this and that part till you give up and toss it.
Joe