I tried getting clean copies of Unlocker from CNET and from its maker, Empty Loop.
www.virustotal.com revealed that both downloaded installers had malware (spyware and a trojan in the CNET download, and spyware in the Empty Loop download) so I deleted the downloads.
I also tried ShellToys and it was unable to delete the folder upon reboot. I tried the command prompt in the Win 7 version of the "recovery console" to no avail.
I then discovered that all of the subfolders and files had a crazy mix of permissions and the objects wouldn't inherit permissions from higher objects, so I just went through them one by one and set the correct permissions manually. I was then able to delete the objects singularly until they were all gone.
What a mess and a P.I.T.A. just to get rid of a stinkin' folder. I have no idea how this occurred.
Thanks for all of your help!