Mark - you can't transfer a beneficial share. We register the legal ownership and that is always dealt with as a whole. As such if the legal ownership is to be transferred to a new joint owner then the surviving three joint owners will need to transfer the whole to themselves and the 4th person as appropriate
HMLR Guide Page · HM Land Registry
Land registration is complex, designed to protect legal and financial interests in property. There can be significant consequences for any error. Please consider seeking legal representation. Before making an application without legal representation, it is important to
consider the benefits of using a conveyancer.