Upon more inspection, the lamp cord was not polarized. The lamp parts needed for this repair include a new turn knob fixture style socket and a lamp cord with molded plastic plug.
The first thing to do is un-wire the lamp socket. This socket has a candle cover instead of a cap and shell. The candle cover is held on by the turn knob. Using a pair of needle nose pliers, the turn knob is removed.
With the plastic knob and tiny metal mandrel extender, the plastic socket comes off. The socket cord is disconnected and the socket removed from the lamp. The vase cap and candle cup below the socket are removed as well.
With the socket removed, the next step will be to replace the old lamp cord with a new polarized lamp cord. The first step is to turn the lamp over and cut a semicircle in the bottom felt on the lamp. Then we start to remove the caps on the swivel.
Remove all the caps on the swivel and trim the excess cord from the top of the swivel arm.
Using our tiny clamps, as noted in our specialty lamp tools section, the old lamp cord is slowly pried from each point on the swivel. This is a slow process.
Moving down the swivel, we continue to remove the cord from the lamp.
Reversing the process, the new lamp cord is threaded up the swivel in the same manor. Note: It is important to keep the cord from twisting. The joints on a swivel are so tight, a twisted cord would be nearly impossible.
After the cord is through the base, pull enough slack out of the cord to make it all the way through the swivel. Do not worry about excess slack; it can be cut from the top. Too little cord and you will be feeding through every joint again.
Crack your knuckles and get ready for the fun. Using your clamps, pull the cord up the lamp one section at a time. Since you measured the length you can pull all the slack you have through each section.
Now you've done it! The threaded rod gets put back on the top of the swivel. The other parts are placed on the lamp too: candle cup, seating ring, and the fixture socket.
Work the swivel around a bit for the cord to flex.
Rewire the socket to the lamp with the new lamp cord. The excess cord is removed from the lamp and a UL knot is tied in the cord. The smooth wire connects to the brass screw and the ribbed cord connects to the silver screw, for polarity.
The candle cover is placed on top the socket and the turn knob reattached.
Replace the caps in the swivel and add a bulb to test the lamp.
Good job! Total time: < 1 hour Total cost: < $15.00