I've been coming across a number of businesses lately which don't own their own domains, they might think they do and the company they registered it through might tell them it is, have you checked?

take a trip over to the brokenStones whois tool and check for yourself.

So why is the domain not registered correctly to start with?

From experience I know that some people simply don't realise when they register the domain they should enter it in the owners name as opposed to theirs, but I believe there are also companies out there who purposely register it in their own name to try to keep some sort of control over they client.

How do I change it to my name?

To change a the 'registrant' of a .co.uk domain currently costs £10+VAT see details on nominet for more details