auntpiggylpn,
That is a very nice Aldens Magic ZZ. Very similar to mine, but not exactly the same.
Here is mine:
Here is the GW picture showing the manual:
The cord in your pic is for an older White or Kenmore machine, and looks to be in good shape. The controller is my wife's favorite type.
The wiring on your Aldens ZZ should have a cord block in the little recess of the case with the motor and light cords plugged into that. The foot controller coming out of one side and the power cord out of the other.
It should be set up like this case:
Mine is also a very quiet machine. The only thing I don't like about it is the motor mount is solid and there is no adjustments. So I have to use a rubber band belt. Other than that I have no complaints about it.
Joe