Thanks guys-- Duracell, php, eddieb, and SakCyb.
I found the surest way of deleting that folder. It's called formatting. That partition had nothing else on it that I couldn't back up elsewhere, so I right-clicked that drive letter and did a format.
Before formatting, however, I had tried booting up in Safe Mode, both command-line and non-command-line. Both attempts at deleting failed. Also, I did all of this while logged as the "Administrator".
Duracell, when I right-click on a folder I do not see a "Preferences", but I do see a "Properties". Properties does not have all of the items as you listed for "Preferences".
SakCyb, I'll check out MoveOnBoot. It could be useful for the future perhaps.