Thanks for ll of the help. You're pix is what I have. Unfortunately, I don't have an instruction manual for the switch. At one end of the switch, it has a male connector that came with it. On the other end, it has one red and one black cable. I soldered the red cable to the center of a female connector and the black cable to the outer piece. Then, I attached the soldered female connector to the male connector that comes from the battery. Voila. 7 hours and 20 minutes of power.

The lamp also came with a red and a black cable. Again, I soldered the black to the outer piece of a female connector and the black to the inner piece. I think that must be fine because it works just fine when I connect it directly to the Cygolite battery (which has a switch as part of the battery).

The battery appeared to cut off when it was supposed to. It was 10.6v before a ride to work and died on the way. It's now recharged back to 12.6v and works again.

I think I'll take it to the electronics store where I got a bunch of the stuff to see if they'll help. It's a lot like an LBS--higher prices but the owner knows his stuff and is willing to help. The only problem is that it's hard to get there when it's open. It's open 9-5 M-F.

When I finally get this done, I'll borrow a digital camera from someone and pass it one. Thanks for all of your help!