Are you using the same URL in both instances to access the site? If not, then that is the problem and you should use the one that works. That makes this an installation issue and not an Essential or indeed theme issue.
Is this theme installation issue or moodle installation issue?
I host the moodle through BitNami moodle stack 2.5.2-0.
Kindly give clarification.
If you use two dIfferent URLs to access the same Moodle site then the issue will occur in one of them. Moodle can only be accessed through one URL if you are using two then it is an installation configuration issue for Moodle itself and not to do with the theme.
Kishore, What Gareth said is, you may be trying to access the site by using 2 different URL's, like for example from Internet, it may be accessed via URL like (www.mymoodle.com), whilst on your LAN, you may be accessing it via (http://myserveraddress/moodle).
