icon won't leave desktop!

hello, all --

i've searched most of the on-line forums and have seen similar Qs but not what appears to me to be EXACTLY the same Q, but i apologize in advance if i am inadvertently duplicating an inquiry that has already been resolved elsewhere. (i have also posted in a couple of other forums, so i apologize as well if my inquiry here, or there, shows up twice as a result of this.)

somehow i have gotten two icons on my desktop for the "fonts" folder. #1 icon HAS the little arrow, and if i right-click it, i get a long menu that includes a "create shortcut/delete/rename" pod in it. if i click on "delete," the icon disappears.

#2 icon does NOT have the little arrow, and if i right-click it, i get only a short menu that says "open/explore/norton security/paste/create shortcut." in other words, there is no option for deleting the icon.

i've tried everything i can think of to make icon #2 disappear, or to pull up the long menu when i right-click the icon, but the short menu keeps appearing and icon #2 stubbornly clings for life to the desktop. i would be very grateful if you can enlighten me as to what i should try next.

FYI, i am on IE8, XP with SP3. i have norton internet security 2009 and am religious, indeed obsessive, about periodically scanning manually in addition to the scheduled scans.

thank you in advance for any insights.

-- susie margaret