On a couple of cars I've had in the past, there was a re-set routine for the park position of the wipers. A re-learn, if that makes sense. Perhaps the factory or a dealer might know what that is.
I suspect, as already posted, the park position has been lost.
I assume with the Morgan that the wipers return to 'park' when the ignition is turned off - ie they don't stop suddenly in a vertical (or wherever) position?
