There were two different plugs used. 1937 to 1939 used the larger plug that was split. 1940 to the end used the small solid plug. With the early split plug the springiness to keep the plug in and to make a good electrical connection was in the splits in the plug. The Jack in the brush plate was a flush mounted rigid hole. In this design the plug was very fragile either getting bent or one or more of the quarter segments would get broken off. The later solid plugs have a split surface mounted Jack which provides the springiness. This plug was very successful and was used into the postwar era on the 726, 671, 773, and early 0-4-0 switchers. Maybe more.
The early plug is a bear to find. Denis Waldron was the only person I knew who had them. When he died his business was sold to Trainz, so maybe a call to Scott would get you somewhere. As I recall, when Dennis was selling the early plugs he was asking 70 to 80 dollars for a plug. The solid plugs are still common, but sold under several different part numbers since they come with different wire lengths. Maybe try looking using a 227 number? If you can not figure the part number out, call Jeff Kane, The Train Tender. He will have them and will know the part number.
On the early plugs the plastic insulated is threaded and needs to be screwed off to solder in a new wire. Be really careful not to get any solder on the threads. If you do, it might split the plastic when you screw it back on. On the solid plug, the plastic does not come off. All the solder should be right at the metal tip. Heat only the tip and work quickly to avoid damaging the plastic.