Thus began my journey into rooting the phone since it seemingly took forever for AT&T to come out with 4.1.2 (from 4.1.1).
I used ChainFire's excellent CF-Auto-Root and was searching for the stock 4.1.2 ROM before loading CM when I found, on Samsung's website, that they have released Jelly Bean 4.3.
Go to Samsung's US Support website and search for "AT&T Cell Phones: How do I update my Samsung Galaxy SŪ III (AT&T) to Android 4.3 Jelly Bean?"
(I can't post the link because I'm new here.)
I'm installing it onto my phone as I write this message.
I still plan to root for Titanium Backup, et al, but figured the link could help some other newbies out there.