Thanks for the reply WhyYou.
I'm afraid that might not work. The drive was originally formatted as FAT32 and I reformatted it as NTFS prior to using it. I did this primairly because the Seagate Free Agent drives I'd been using were NTFS, and someone told me that FAT32 was slower. I don't really know the difference between the two.
I scanned it with a trial version of EasyRecovery Pro and it was able to find many of the files. Of course, being a trial version, I wasn't able to copy any of the files out to my C: drive. to do that, I need the full version, for $199.00
I was hoping there might be some freeware out there that I could use.