Not quite a Morgan but I took my test in a Mini Moke (May 69), without a hood or side covers. The test examiner came out and said oh an open vehicle, I will get my overcoat, 20 mins later it was all over!! The Moke belonged to my instructors daughter. The instructors Fiat 124 saloon had been written off on my last lesson by an rather impatient artic driver, when it went to court he had 28 previous convictions!
Bike test on a Vespa 150.