Ok, I think I may have licked this one...
The clue was that when I removed and re-installed Chrome, the issue seemed to go away. It returned as soon as I logged into Google and synched. This pulls in lots of data that is shared across all of my devices. This includes a Windows 7 PC, as well as my iPhone. The nice thing about this is that I have a single place for bookmarks, history, login's, etc. The downside is that this added something that Avast detected as a possible Trojan in this shared history.
The solution was to run the commands to remove Chrome and reinstall. But, before logging into Google, I went to my PC, and purged all history and browser cache. Then, when I logged into Google on my Mac and synched the issue did not occur.
I hope that this helps anyone else that may run into this in the future.
P.S: The weird thing is that Avast on my Windows 7 PC did not complain about it.