I would definitely echo the thoughts of others here: Make contact with your local MSCC Centre and ask if someone would be prepared to (a) drive your car and (b) let you have a go in theirs to establish a baseline of how far adrift your car is from the norm. I'd very happily volunteer but I'm even further away from you than your dealer.
My guess is that it probably just needs a good lubing of the suspension and a good thrashing round some nice twisty roads to get everything moving again. Morgans especially don't like sitting around, the more they are used the better they get IME.
And yes, give AW a call and have a chat, it does sound like a new filler tube could be required.