I still did not know what this 2 trash can thing was all about. Before install removed R14 (completely - deleting any stray configs in /opt and deleting any remaining dirs in /opt. Additionally, I delete ~/.trinity and deleted /var/tmp/*. So there was no shread of R14 around when I installed 3513 (I even deleted ~/.config/menus.
My only thought on this one particular box is that it also had enlightenment (E17) installed which uses another similar trash setup. In ~/.local/share/Trash I have:
|storage_serial_ST3500630AS_6QG351C5_1.desktop -> /home/david/.e/e/fileman/favorites/|storage_serial_ST3500630AS_6QG351C5_1.desktop |storage_serial_ST3500630AS_6QG351C5_8.desktop -> /home/david/.e/e/fileman/favorites/|storage_serial_ST3500630AS_6QG351C5_8.desktop
Which explains the separate trash.....
In TDE the Trash icon is a built-in. The default fresh TDE profile will display the icon, until configured otherwise in Desktop Behavior. Therefore look for other XDG locations where a Trash icon could be stored.
Darrell