A mystery actor and a telephone EXchange name

[“DUnkirk 7–3899, that’s all we need.” Click for a larger view.]

Do you recognize the actor in that photograph? Leave your best guess in a comment. I will drop a hint if necessary.

*

11:56 a.m.: A hint: the actor is best known for playing a character whose name is also a song title.

*

1:25 p.m.: Oh well. That’s Anne Bancroft, as Marie Gardner, in Nightfall (dir. Jacques Tourneur, 1957).

More mystery actors (Collect them all!)
? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ? : ?

More EXchange names on screen
The Amazing Dr. Clitterhouse : Armored Car Robbery : Baby Face : Blast of Silence : The Blue Dahlia : Boardwalk Empire : Born Yesterday : Chinatown : The Dark Corner : Deception : Dick Tracy’s Deception : Down Three Dark Streets : Dream House : East Side, West Side : The Little Giant : The Man Who Cheated Himself : Modern Marvels : Murder by Contract : Murder, My Sweet : My Week with Marilyn : Naked City (1) : Naked City (2) : Naked City (3) : Naked City (4) : Naked City (5) : Naked City (6) : Naked City (7) : Nightmare Alley : Perry Mason : The Public Enemy : Railroaded! : Side Street : Sweet Smell of Success : Tension : This Gun for Hire