Thanks Wikipedia!
Production
A Star Is Born was filmed from October to December 1936 with an estimated budget of $1,173,639, and premiered in Los Angeles, California on April 27, 1937 at Grauman’s Chinese Theater. In New York, the film premiered at Radio City Music Hall. The scene in the film where Menjou offers the fading star a supporting role was added at the suggestion of George Cukor, who directed the 1954 remake.
It is not known how much Dorothy Parker contributed to the finished script. When she first saw the film, Parker was proud of her contribution and boasted about both the script and the film, but in later life she believed that she had contributed nothing of significance.[2]
Early in their careers, Budd Schulberg (then a script reader for David O. Selznick) and Ring Lardner, Jr. (who was working in Selznick’s publicity department) were assigned to write some additional dialogue for the film, a collaboration which produced Janet Gaynor‘s (and the film’s) final words, “This is Mrs. Norman Maine.” The line was used again in the 1954 Warner Bros. musical remake starring Judy Garland.[3]
http://vickielester.com/2012/08/12/graumans-chinese-theater/