brandeesmom,
Is the new cord set a molded plug type or a screw together type? If molded it's junk and there's nothing you can do to get inside it to fix it. If it's a screw together type then you can open it up and put the wires in the right place.
It sounds to me like the manufacturer got the wires in the wrong place - or, someone rewired your machine in the past and wired it wrong.
There are wiring diagrams out there so you can check the way your machine is wired.
Joe