carchick

No, any old bodyshop certainly will
not do! Neither will a shop specialising in modern classics, of whatever pedigree. You really ought to go to a top re-furbishment outfit like Melvyn Rutter or BHM. 1981 was in the absolute nadir of Morgan build-quality when a dollop of "blacking" was the order of the day!! I fear a bit more than a re-spray will be found to be required, notably in the woodwork department.
Festina Lente and best of luck.