If the desktop has USB then you have 2 routes. Either will cost you about $30 US.
route 1) USB "hotlink". I just saw this in CompUSA. It's a USB that connects one computer to another (both need to be working) and allows data transfers and such. I do not know the official name.
route 2) USB External Enclosure. Take the harddrive out of your laptop and plug it in to the enclosure. USB it to your desktop. It will mount just like a new drive on your desktop.