I created a new blank MySQL database. I couldn't see it when accessing it via. phpMyAdmin. I only saw two old MySQL databases.
It turns out that the new one was associated with a different user name. I had to log out of the screen first by clicking on one of the icons on the left-upper side of the phpMyAdmin window. After the log-out, I logged in with the right user name and the password, when I was able to see all MySQL databases I needed to see.
Each phpMyAdmin session is specific to each of the users I created.