comes off the main harness and goes into the fairing on the left side, I think I pulled it out of a connector but could not find it in the fairing. I had to eliminate a rats nest of wiring from aux lights that I didnt want.
It's a ground wire for the fairing. There should be a matching green wire at the connector for the fairing. Nothing in the fairing will work correctly without it. I guess they ran out of space in the connector.
Do as they say and test the wires to see if they are grounds or have power to them. The one on the harness that is in the fairing power plug harness is the ground for the fairing on the 1100s. Is this picture the end of it that you are holding in the last picture? Kinda hard to see where it goes from your hand.