Hello,

The correct database name would be specified in your wp-config.php file.

With your favorite text editor, you need to open the /var/www/html/wp-config.php file and look for DB_NAME. On that line, you will see the name of your database.

In order to access your WordPress files you could either use SSH as described here:

https://docs.digitalocean.com/products/droplets/how-to/connect-with-ssh/

Or if you prefer you could use SFTP as described here:

https://docs.digitalocean.com/products/droplets/how-to/transfer-files/

Let me know how it goes.
Best,
Bobby