It is advised to learn zencart basics before trying to do any customization.

Now to find the database used in your cart

*   open your control panel

*   go to file manager

*   go to public_html

*   you will be listed the folders with structure.

*   go to includes folder.  you can see configure.php (please ensure that the files has 444 as its right)  If not change it to 444)

*  right click on the configure.php and open it with code editor

*  at the bottom of the file you can see DB_DATABASE  ( around line number 57).

Yes….  You got the database name which was used in your current zencart installation.

Please forgive me if my steps are too extensive.  It is also meant to people who does not know anything on zen cart and web hosting.