If you would like to edit a Picture Name (or multiple Picture Names) you can check the boxes and click on the "Edit Selected" button. This will refresh the page and give you text boxes to edit the name(s). Simply edit the name and click on the "Edit Selected" button again to update.
The Picture Names are used for the dropdown menus in Chat Rooms and Discussion Board to allow you to choose an image out of your Graphic Vault.
Note: If you need to edit a whole "page" of icons you can click on the top check box to select all items.