the WHOIS record for this domain name. It shows that the name is registered to someone called Albatross networks of Norwich.
The Domain Name Server addresses tell me that the name is being hosted by a company called HostU, who are based in Glasgow. There's no earthly reason why your site owner shouldn't be able to see the site on the domain - I can see it without any problem.
The reason that the eagle site shows on search engine returns is probably because it has several meta tags containing relevant keywords. The site on the domain name has no such tags at all.