What law is that then?
(The one being broken to make the website illegal?)
Any UK business owner with a website must show the company address or company number on at least one page of the site (usually in the about us or contact us section) I think this came into force about 2007 (or 1997 I get confused lol)
I think you have to list the vat number on ordering/checkout pages too but I may have dreamt it)