does the laptop run off wall power when it's not connected to the system? a ground loop could be tripping some overload circuit. can you run the laptop with the power supply but not the battery?
Worst case scenario, do you have 1) another computer and 2)do you have an adapter (or external enclosure) for a laptop hard drive? if you had to, you could yank that drive and get the data off it so you could run on another computer. you could also look for a rectifier bridge that might be popped.
"TO DO IS TO BE" - Nietzsche
"TO BE IS TO DO" - Kant
"DO BE DO BE DO" - Sinatra