Yes, I did. I'll outline my steps exactly to see if that helps out:
1) Installed the Stockton brake bleeder kit
http://www.cyclegear.com/spgm.cfm?L1=5007&L2=31&L3=7001&L4=&item=PRC_L35-640&name=STOCKTON_TOOL_COMPANY_Brake_Bleeder_Tool
on the nipple, making sure the arrow on the one-way valve pointed in the direction of flow.
2) I placed the free end in a clear bottle. I also used a small syringe to put a small amount of clean brake fluid in the small hose end that connects to the nipple to prevent any air from being drawn into the system.
3) I removed the reservoir cover, making sure everything was clean.
4) I loosened the bleeder nipple and, while watching the level in the reservoir, slowly starting pumping the handle.
The handle would move freely, but after repeated squeezing the level barely moved. When I looked at the hose, old fluid had moved in up to the one-way valve, but not very much.
I loosened the bleeder nipple a bit more and I was able to move a small amount of fluid into the hose past the one-way valve (so I figure
that's working) and even a drip or two in the bottle, but I also noticed some fluid coming out around the bleeder valve, which I cleaned up. In any case, repeated squeezing of the handle had little effect.
If I backed off on the bleeder nipple, nothing much happened. If I loosened it a bit more, it would start bleeding out around the base.
At this point, I put everything back together and, as far as I can tell, the brake still works fine.
According to everything I've read, you just "loosen" the bleeder nipple...maybe up to 1/2 turn...the amount doesn't seem too critical. Am I doing something wrong there? I don't think I loosened it even that much before it started leaking.