Well, I'm marking this thread as
[SOLVED] because I finally
did figure out why the list of ODBC tables was not appearing.
First, I learned that in OS/X you need to install a legacy version of the Java Runtime Engine (JRE), helpfully provided by Apple.
(OpenOffice pointed me straight to it.)
I was trying to use the iODBC drivers on OS/X. It could connect, but couldn't see any tables.
Then, I tried to use JDBC
("Connector/J"), and, along the
Google DuckDuckGo avenue of figuring out how to doing that, I stumbled into the fact that there is an OpenOffice
Extension (installed using their "Extensions Manager" tool) which provides a
native connection to MySQL. (Although the page is old, the software is not; the page is
here.)
I found two extensions – one by Oracle Corporation, which is not maintained, and a second one by "aoo_my_sdbc," which is. They had a driver for Oo4.1.
(Yay!) I downloaded this extension and installed it.
Upon restarting OpenOffice, and throwing away my old database altogether, I found that "MySQL" was now a connection-type and one choice was "Native." I picked it and crossed my fingers, and ...
And then, magically, the tables in my MySQL database appeared!
Now,
Base is
still a heap o' garbage compared to Microsoft Access
(at least, that's still my opinion right now ... ) but maybe it beats paying about $250 for FileMaker, which otherwise seems to be about the only other database manager on the OS/X planet. (Inexplicably, so far as I know, Microsoft has
never included Access in its Office suite for Mac.)