I'm not looking for a typical light bulb socket. I'm looking for only the screw portion of a light socket. This is for an old appliance I am attempting to restore. The part I'm replacing is shown in the picture below. Ideally the socket is something I can solder the wires onto.
edit: I should add that I've already gone through Home Depot. I bought a cheaper circular light fixture because it looked like I could take it apart but it doesn't work. It comes apart into too many pieces.