Where did my table go? (no replies)

I created a table but now cannot determine the name of the database. (If I created a table there has to be a database, right?)

I installed the workbench and created the table by following the tutorial. The table is there; even after a reboot. I don't recall ever being asked for a database name. I was asked for a "EER Model" name which I provided and which now appears in the Data Modeling column and when I click on it I can access (i.e. see and change) my table.

But I cannot access the table via PHP because I don't know the name of the database. I used the "show databases;" command and then did a "show tables;" for each database but could not find it.

How do I determine the name of the database? Or, if I created a table without a database, how do I get my table into a database?

Thanks, Bob