You need to find the technical support manual for the laptop. Or you could get adventurous and start disassembling the laptop to get at the mainboard.
There is only one problem. Odds are the solder joints are too small to make any modifications without frying the board with noob soldering skills.
There is an alternative to your problem.
Mount the laptop to the side of the cabinet, remove the display, or if it allows, bend it backwards (the switch I think is within the clam structure of the lid).
Drill a small hole in the side (or back if you want to) of the cab near the button that is nearly flush, and construct a dowl, spring and button casing and make an on/off button. Basically extending the button to the outside of the cabinet.
I have this on all my laptop cabinet builds, when I am in danger of frying the laptop board with my noob soldering skills.

Otherwise take the laptop to your local college/technician and ask him to solder a switch to the laptop for beer money.