Hi, thanks for your enquiry. Before you can proceed, you will need to obtain the consent of the Mortgage Lender as the Mortgage will need to be transferred into your wife's name (whoever's name is ***** ***** Deeds will also need to be on the Mortgage). So, provided your wife could afford to pay the Mortgage, in the eyes of the Lender, they will grant consent.
Subject to the above, the procedure is pretty straight forward- you would both need to instruct separate Solicitors to deal with the Transfer. Your Solicitor would need to prepare the Land Registry Transfer document, which is signed by both of you, and then registered at the Land Registry.
I hope this assists and sets out the legal position.