You'll need to change a couple of settings in your configure.php files (the admin one will require change, too) and you'll need to get your .htaccess file (or cPanel settings) from redirecting accesses.
Code:
/**
* Enter the domain for your store
* HTTP_SERVER is your Main webserver: eg-http://www.yourdomain.com
* HTTPS_SERVER is your Secure/SSL webserver: eg-https://www.yourdomain.com
*/
define('HTTP_SERVER', 'http://www.morrisgiftshop.biz');
define('HTTPS_SERVER', 'https://www.morrisgiftshop.biz');
/**
* If you want to tell Zen Cart to use your HTTPS URL on sensitive pages like login and checkout, set this to 'true'. Otherwise 'false'. (Keep the quotes)
*/
define('ENABLE_SSL', 'true'); //-Set this to 'false' if you don't have an SSL certificate
/**
* These DIR_WS_xxxx values refer to the name of any subdirectory in which your store is located.
* These values get added to the HTTP_CATALOG_SERVER and HTTPS_CATALOG_SERVER values to form the complete URLs to your storefront.
* They should always start and end with a slash ... ie: '/' or '/foldername/'
*/
define('DIR_WS_CATALOG', '/');
define('DIR_WS_HTTPS_CATALOG', '/');
/**
* This is the complete physical path to your store's files. eg: /var/www/vhost/accountname/public_html/store/
* Should have a closing / on it.
*/
define('DIR_FS_CATALOG', '/xxxxx/xxxxxx/public_html/morrisgiftshop.biz/');