Fred:
That was a great idea...I really thought it would work. I checked the Utility Services in Portal and saw a couple of errors there: 1) the path for the print widget template was outdated, and 2) there was indeed a reference there to the TEST print widget template I want to remove. So I corrected the template path and deleted the entry for the TEST print widget, and then refreshed everything (I even restarted the Portal and GIS Servers), but that one entry in the menu just won't go away, which is intriguing.
I'm now thinking what I did when I was building these templates is that at one point I inadvertently saved the TEST PAGX file as another PAGX file, so it is actually referencing a valid print template (i.e. there are now two map templates accessing the same PAGX file). This "might" explain why it won't go away; however, I am at a bit of a loss on how to fix that if everything else has already been deleted.
Thanks for your help though...these were all excellent suggestions. I am narrowing this down and I'm sure I will get to the bottom of this. When I do I will certainly update this thread.