Mac + MAMP + WordPress + Web Sharing = Error establishing a database connection

I'm trying to use my Mac as a Dev Server to show a client their Wordpress Website...

I have WordPress installed locally... using MAMP
I can view/edit the WP Site locally... http://localhost:8888/ameritag/
But I can't view it using my IP address... http://10.0.1.4/~jacksonmurphy/ameritag/
And I can't connect to my server outside my network using my iPhone... I've even tried dyndns.com

Check out the Screenshot and let me know if you have any suggestions...
I've tried all this and more...
http://wordpress.org/support/topic/snow-leopard-apache-php-mysql-and-wordpress?replies=6
http://www.fischerlaender.net/web-20/mac-os-x-trouble-with-mamp-mysql

Here's my wp-config:
define('DB_NAME', 'wp-ameritag');
define('DB_USER', 'root');
define('DB_PASSWORD', 'root');
define('DB_HOST', 'localhost');

Let me know what you think the problem might be-
Thanks!