Very little seems to be known about George Cunningham (?1904-?62). He is mentioned as the uncredited creator of the rudimentary choreography in The Broadway Melody, though it has been suggested that some of that work was by Sammy Lee. Both Cunningham and Lee are credited on The Hollywood Revue of 1929.
The trail ends there, though IMDb also cites Cunningham as the director of a few jukebox musical shorts in the 1940s.