The virtual() function is Apache-specific and it won't work on non-Apache servers.
The solution is to use require_once() instead.
If you update your Dreamweaver site settings, go to Advanced Settings->Local Info and chose "Document" instead of "Site Root" links relative to.
This will make Dreamweaver automatically use require_once() instead of virtual.
The updated code should be:
<?php require_once('../Connections/LiveGold_i.php'); ?>
You will probably have to manually update existing pages or you can probably re-apply the recordset server behavior to get Dreamweaver to update it.