I feel like such a dipstick sometimes. I'll fret over a problem for hours, then post a question somewhere, then minutes later it seems that a lightbulb goes of over my head.
One thing I forgot to do was go to the Apps tab under the Library area of iTunes. <headsmack!>
Going there and viewing the app icons, I found that selecting an app and either right-clicking and selecting "delete", or simply hitting my "backspace" key cause it to disappear, both from the Apps panel in the Library, but also in the list of Apps next to my iPad screens.
Sorry for the intrusion.