There are several kinds of data recovery issues I can think of.
1- Deleted files and the HD has not been over written with other files.
2- Deleted and damaged files on a HD that has been written to.
3- Deleted and damaged files on a physically sound HD with a damaged partition table
4- Deleted and damaged files on a physically damaged HD
There are some sophisticated programmes and other techniques for dealing with issues 2, 3 and 4.
However this issue seems to fall into caegory 1 as you have a good second copy of the files on a good HD which have just been deleted, so recuver should do the trick quickly and easily, and its free! Recuva - Undelete, Unerase, File and Disk Recovery - Free Download