Is the web server the same physical server than the database server?
bind-address should be an address that is assigned to your server -- if
ifconfig lists the address, then you can use it for MySQL. You can't just blindly pick some IP and put that as
bind-address, no sir.
EDIT: It seems you understand
bind-address completely wrong.
1) Put your database server IP address as
2) With MySQL
GRANT statements, allow your web server IP (or DNS name...) to access certain database as certain user with the privileges you want to grant, for example
GRANT SELECT,INSERT,UPDATE,DELETE ON mywpinstallation.*
IDENTIFIED BY 'supersecretpassword'
3) Configure your web application to contact your database server as the user you just granted.
4) Make sure your database server is not reachable from the outside world; use the firewall you have, or if you somehow don't have a separate firewall, just use