I'm working on a WordPress theme for a client, and the version of WordPress running on the client's site is very old--I think it's in the 1.5s, if that. (There is no "automatic WP upgrade" button, nor is there an "upload new theme" button in the Themes section. Every time I click "there's a new version of WP, upgrade now," it takes me to the "download new ZIP file of WP" page.)
I am worried about doing a manual install for my client, because I don't want it to install another instance of WordPress in the same folder. How do I upgrade the current installation from that ZIP file without wiping out the whole existing WP database?
Many, many thanks in advance for checking out this topic!