When I see old cars on TV I often look up the MoT history; all you need is the make and the resistration number. I know the Healey is past needing an MoT but it doesn't show up on the database (my friend's 1936 MG does). VBG 113 is the Healey reg.
I've just checkd 2 of the other cars on he programme - the nurse's Morris Minor and the police Wolseley don't show up on the dataase but the doctor's MG does show up as 1956 Magnette (last tested in 2012 at 37823 miles).