After another e-mail back to Tech Support, they (Jeremy) was very quick to write me back with the solution that worked:
"...you had Rescue configured to automatically restart as a system service. This will elevate the applet above the User level, and would nullify any drive mapping that was in place. To disable this configuration, log into your Admin Center, and go to the Technician Group Settings page. Under the Customer Applet section, uncheck the "automatically restart as system service" options. You will still be able to manually restart as a service when you initially connect to the machine, should you need to."
I re-set as advised and the mapped drives were listed in File Manager.
Many thanks to Jeremy!
Smangum154,
We are using a work-around but it's very cumbersome. I have submitted this problem to Tech Support and have not yet received a satisfactory answer. Don't they monitor this board??? The File Transfer feature was one of the main reasons we got LogMeIn too.
I tested it and it seemed fine. Although I thought it was wrong because the one on the left is your local computer and the one on the right is the remtoe computer.
But it did work fine for me.