Oh I agree that its most likely the wiring from the TV since I'm the fool that made it!
The TV is a 2002 E-350 Super Duty. Its an Ambulance van ordered from Ford as a "Stripped Chassis" which means all of the wiring that would have traveled to the rear of the vehicle was terminated in plugs under the front driver's side dash.
I found the brown plug for the brake controller and the grey plug which has all of the wiring from the tow package relays and ran a trailer appropriate plug to the rear bumper with a 7 pin receiver for the Airstream plug.
Now I need to know which of the dual filament bulbs carried the brake signal in the Airstream. Is it the outer light with the turn signal or the inner light with the running lights.
According to tjdonahue it sounds like its the turn signal light.
According to the schematic and visual check the tail lights (except the Reverse) each tie in with a
GREEN wire which is the Tail Clearance Light and a
RED or
BROWN wire (depending on Left or Right) which is the Turn Signal wire.
And as I'm typing all this I see that richard5933 might have my solution..