Thanks ladies. Unless someone else with IE11 is getting it, it's just me, and I'm stumped. And I've never even seen the icon before.
I've run SuperAntiSpyware, Malware Bytes and Norton, cleared my internet cache, rebooted, and even restored Windows to an earlier version, and not only are they still there, but now they have populated my Favorites buttons as well.
Anybody have any suggestions?
edit: I've also cleared my Elliquiy cookie, removed my Elliquiy favorites, and rebooted ... still to no avail.