a laptop that uses a toggle switch??? I've never head of that before. I can imagine a slider switch or a rocker switch, but I'm having a hard time picturing a toggle switch on a laptop... what brand/model laptop is it?
you say that it is not a momentary switch, which would mean that the "toggle" stays in one position when the laptop is "on" and a different position when the laptop is "off" (in other words, the toggle doesn't spring back on it's own). if if truly is just a simple on/off toggle switch then then a simple SPST relay would work (but I have a hard time believing it would be that easy

)