Thanks for the tips. I uninstalled AdAware, rebooted, then I downloaded and ran your Lavasoft AdAware Removal Tool: https://www.adaware.com/removal-tool, after restarting, I happened to check "Show which icons to appear on the taskbar" and I see 2 instances of AdAwareTray.exe that still appear as icons even after uninstalling Adaware and running the removal tool
(which I anticipate may have been a side effect of my problem.)
I did a online search and found both a Microsoft discussion that involves a manual removal/reset process:
And a separate forum discussion on tenforums.com that includes a .bat file that automates the Icon cache reset process:
This cleared the 2 instances of AdAwareTray.exe that were appearing.
I reinstalled a clean version of AdAware (Version 220.127.116.11), however, the icon still does not appear to display anything when hovering over it with your mouse. Maybe it's not supposed to?