Hi Barry and welcome.
Morgan suspention is never going to be plush, but it should not shake your filling out. If your suspention hardly moves at all, shocks is not likely to be the problem. (they usually become too loose when they wear causing "bounciness") Grease the KP as Dave says and also check for KP wear. If that is not the problem, maybe someone has fitted higher rate springs? You could investigate the option of installing the new rising-rate spring package that the factory have recently developped.
Good luck J
