If your UK name has been de-tagged and is no longer associated with any domain registrar, you can get this re-tagged to ourselves. There are two stages to this process.
Place the order for your hosting and make sure that the option to move the domain name is selected.
You need to get Nominet to re-tag the domain name to ourselves. To do this, you need to follow the same procedure as changing your registrar via their site at https://www.nominet.uk/.