Use database storage is unchecked. It was unchecked previously.
I'm sure the log was short. I don't believe a single backup has ever been completed.
I do not even know what to say. I have run the config about 10 times. It completed twice only. I rattled GoDaddy (I know, I know, never again). I changed php5.ini files. And nothing worked.
Then to complete this post, I ran config. It completed. I ran back up and... miracle, for no reason at all. I have the first backup of the site complete.
I have no idea what was different but something apparently was. Thank you for your assistance here. You can close the thread.