Well, so, obviously I tried that. No dice. I even put a book down on the Option key while to hold it down while it counted up all 500 gajillion files, and that didn't work either. So then I tried unlocking all the items in the folder from the Info window. No go there either.
Emptying the Trash cannot be completed because "xxxxx.xxx" is locked. To empty everything in the Trash, including locked items, press the Option key while selecting Empty Trash.
Then I tried moving the folder back to its original location and start over, and it wouldn't let me do it. The error message I got said that there was not enough disk space and I don't have sufficient privileges to do it anyway (this is the first time I've ever gotten a two-fold error message).
So, not only can I not get rid of these backups, I can't actually delete anything because I can't empty the trash.
Anyone that can help me will be rewarded, both karmically and possibly more tangibly as well.