Try to run an undelete software on the desktop, there are many free ones.
As a safety precaution when making a big transfer it's always safer to make a copy instead of a move (a move could be either a drag & drop or cut & paste). Because with a move operation it can be destructive as the files are automatically removed from the previous location, but what if something goes wrong like one of the computer crashes during the transfer? You're almost certain to loose files then. With a copy operation, you can verify that all files were transferred successfully and manually delete them after.
But hopefully an undelete software could save the day for you.