Thanks all. Very helpful.
I agree, Shooter, that a tracker looks a much better option than an alarm, so if the underwriter won't accept just an immobiliser, that'll be the way I go.
It looks as the £50k+ was the trigger, so maybe it'll be a move to G and W at next renewal. Currently with Heritage.
I'll report back later.
I was with Heritage, great bunch but their underwriters don't seem to like high value cars.
As well as exploring the alarm option I reluctantly looked into getting a Tracker fitted. It wasn't going to be cheap, and then I was told fitting trackers to Morgans was "difficult" because there were so few places to hide it. When they realised the car is a Canbus wired vehicle they said they would need me to take the car to a Tracker centre, it couldn't be done at home. I got the feeling I'd be an "experiment".
By this time I was somewhat irritated and started calling all the Morgan Specialist insurers, when I spoke to G&W it was all simple: it was cheaper to cancel the policy with Heritage, I lost 1 months premium, and start again with G&W, by a long, long way.