So here is my update.
Finally got somewhat of a break from the latest Polar Vortex, so I went to the shed and with all of your suggestions in mind, I took all of the wiring out of the headlight bucket, and completely removed the bucket. I disconnected all of the connections and examined all of the wires. I couldn't any directly exposed wires, but I went ahead and took out the old turn signals and their tiny little wires. When I had the aftermarket headlights in, I was in Afghanistan, so the dealer did the work. Looks like they just crimped the connections together and e-taped it. It was shorty. I replaced the turn signals with these beautiful things I bought at British Customs.( http://www.british-customs.com/triumph-motorcycle-black-bullet-turn-signals.html ) Replaced all the wires back into the bucket. It's a little shallow because it is aftermarket 7inch from Dime City Cycles, but everything fit. I want to go back in and shorten the front turn signal wires, and seal the rear hole with a rubber grommet or something to eliminate wires rubbing on the metal.
After that everything worked!!! It was a real relief that it was really pretty easy. My next project is to replace the rear turn signals with the bullet signals, and I want to take my club mans off and put on some tracker handle bars for some more long distance riding.
It was a lot of fun to get into the electrical aspect and to replace the turn signals which I haven't had the opportunity to do. I always dread going into that headlight bucket because there are so many wires inside of it, but having moved one connection out, it isn't as bad.
Thank you all for your help and advice, and I'll see you all on the road.