How to remove those Telly Tubby Gnome icons
As I'm sure anyone that's ever used Gnome will have noticed there are typically three icons that appear on the desktop that cannot be deleted. Those being Computer, Home and Wastebasket.
To remove them from the desktop, run gconf-editor as the user that wants to remove the icons.
apps --> nautilus --> desktop
un-tick the boxes for computer_icon_visible, home_icon_visible and trash_icon_visible