Thanks for the replies.
I can live with the sort being kind of goofy until the next final release. I found a way to change the date of the album and now it more or less orders them by date. At this point, I'm out of time to do another installation.
In case it helps with the diagnostic of the issue:
It was already set to Manual sort and saved before I tried to re-order the albums. After seeing this I re-saved the "manual sort again", refreshed the database, and tried manually sorting. It doesn't matter if I click on the image or the link. It doesn't save the order.
My 1.1.2 installation let me sort the albums manually. I did just replace the 1.1.2 installation by moving those files out of the directory and making sure the 1.1.3 had a different table prefix. I can put the 1.1.2 files back into the directory, move the 1.1.3 files out temporarily and see if the 1.1.2 let's me re-order the albums without the extra full edit page popping up if that would help.
Otherwise, I'll stand by for the next official release.

Thanks for the help.