Update! Having read the FAQs (when all else fails), I see that CCleaner only cleans the current users stuff. Now when I open CCleaner, the UAC panel pops up and I can click on Bob (me) a standard user, or Administrator. I've been clicking on Administrator, thinking it needed Admin priviledges, but just for a change I clicked on Bob, and now CCleaner does see my cookies in the 'Cookies/low' folder and deletes them. If I open CCleaner by clicking on Administrator, it switches to looking at the Administrator account, and doesn't find my cookies. So all is well, except that a note is needed somewhere explaining that even if you are in one user account, clicking on the administrator to start CCleaner seems to switch it to looking at the Administrator account instead of the current account. Hope that is clear! So nothing wrong with CCleaner, just me.
This stuff beats Su Doku for exercising the brain cells.