Hi Peter,
Just so I understand what you're trying to tell me, I see the wiring as
described in 4 parts:
Part 1
The main power cord that plugs into the wall and feeds up to the top of
the lamp. Would that be standard 18/2 lamp cord?
Part 2
From there, you have all the hot wires tied together which feed:
The Mogul light socket on top
The rotary 3-way switch which operates the three candelabra bulbs.
By the way, the rotary 3-way switch has its own built-in wiring.
https://www.amazon.com/dp/B00004YULQ
I forgot to mention an add-on bulb (NOT added on by me) which is taped
to the base of the lamp. Picture is here,
https://app.box.com/s/l13ofutlb4phlu3o9fag1jd4nqao7820
Accompanying that add-on bulb is a SPST rotary switch which was placed
next to the 3-way candelabra switch at the top of the lamp.
Am I correct in saying that all these branched hot wires will be the
same kind of wiring? Will that particular wire be the modern cloth
wiring or some other type?
Part 3
Next are the two output wires of the 3-way rotary switch that tie
together with the candelabra socket wiring.
The wire from the rotary SPST switch which feeds the bulb at the base of
the lamp.
Part 4
All the neutral wires.
Thanks for helping me sort all this out.
One last mention, the center light pole which normally would have one
cord going through it will need an extra cord to supply power back to
the add-on lamp. The original extra wire running through the pole (which
is the same type of wiring that was feeding the candelabra sockets) is
the same cord I photographed earlier. I have my doubts whether or not
that is UL approved wire.
https://app.box.com/s/60uk1b7uy1cnq6noz223mx7zjzq84770