According to The Hollywood Reporter, Academy Award nominated actress Keira Knightley have also been cast in the feature film.
Miss Grenada became the first black woman to be crowned Miss World.
Misbehaviour will be based on the real-life story of the 1970 Miss World competition, which was then the most-watched TV show on the planet with more than 100 million viewers.
BAFTA winning director Philippa Lowthorpe is set to helm Misbehaviour with Rebecca Frayn to adapt the screenplay.