Here is a picture - this one was sold as a "conversion kit" and the footpedal is not Singer. I took it off a Red Eye I put a hand crank on.
The second is showing a different type of electrical connection on some older machines.
Anyway, you can easily rewire this machine into a block like Joe mentioned and use a double lead cord - one end goes to the footpedal and the other to the outlet.
This is off a 1920's machine - actually I've got three machines that had this type wiring on them. So if you encounter a machine with two metal pegs - that is what they are for.