'Cook' is the tale of a cook hired by a dying man to make meals for his girlfriend and his daughter after he passes, reported Deadline.
Murphy is set to play the titular Henry Church, an artistic man who agrees to care for the dying Marie Brody and her daughter Charlotte for six months.
Robertson, 24, who most recently filmed Disney sci-fier 'Tomorrowland' opposite George Clooney and the Nicholas Sparks drama 'The Longest Ride for Fox' 2000, will play Charlotte.