A search of data in the archives of my Departments National Vehicle and Driver File (NVDF) indicates there are details available for both of the vehicle registration numbers provided. These numbers can be retained, and be inserted on the new log books of both vehicles.
The individual concerned will need to go to their local motor office where they will be advised of the process, including details of the verification documents they will need to complete in order for new log books, with the old registration numbers, to be processed and printed.