Session vars

The arguments with $_SESSION should not be in quotes, but the arguments in [brackets] probably should.
$conn = mysql_connect('localhost', $_SESSION['Local_Name'], $_SESSION['Local_Password']);
And you should switch to PDO because newer PHP will not support mysql_connect  any more.

I believe @msifox is right.  My normal connection line is:

mysql_connect($dbhost, $dbuser, $dbpass) or die(mysql_error());

This will help you make the required conversion away from MySQL:
https://www.experts-exchange.com/Web_Development/Web_Languages-Standards/PHP/PHP_Databases/A_11177-PHP-MySQL-Deprecated-as-of-PHP-5-5-0.html

This will help you avoid confusion about PHP's "squishy" syntax and lax data structures.

error_reporting(E_ALL);

Also it is important to understand the difference between single and double quotes in PHP

Single quotes - everything inside the quotes is treated as a literal - i.e. it comes out exactly as it looks.

Double quotes - php will interpret escaped characters and $variables and replace them with their appropriate counter parts so

$x = 'fred';

echo '$x'; // will output $x

Whereas

echo "$x"; // will output fred

The problem here is you used single quotes. Double quotes would have worked but as highlighted above they are unnecessary.

You also might want to move of mysql as this has been deprecated in future versions of MySQL support in PHP - consider using PDO or MySQLi

Thanks for the points, ~Ray