After removing the ten thousand screws that Toshiba used to hold that thing together, I took the motherboard out to the garage to spend some quality time with the air compressor. This time was used to remove the rug of shmegma that was jammed in the fins of the cpu cooler causing it to overheat.
On reassembly, I purposely omitted the reinstall of the screen and viola!
A headless laptop! Wee! See picture below!