Thank you Tina. It appears to have something to do with MySQL5 and versions of ZenCart 1.2.7 and earlier. The only exception is that with the program I'm working on this message only appears once and that's at startup. At that point, I can choose to do anything I want and the message never re-appears whereas with the post you provided a link to Tina, they were getting the message on various pages.

Since this only happens at startup, it would be nice to think that, at startup, a message could be sent to ZenCart telling it not to be afraid of MySQL5 and to go on working as happily as it did in the past until a version upgrade of ZenCart can be made. If anyone can come up with something like that, it would be worth a couple of cups of joe!

Thanks everyone for all your help.