Can alumni access library databases?
If you're able to travel to Tuscaloosa, you can use electronic resources inside the library and purchase a Borrower's Card that will allow you to check out some materials.
Unfortunately, alums don't have access to our electronic resources outside the library. If you're in Alabama, you might want to check out the Alabama Virtual Library, which offers many of the databases available to UA students; all Alabama residents have access to it at no cost. If you're living elsewhere, you might check with the state library service or your local public library to see if something similar is available.