For reference, here's a Carmen, Baby lobby card poster with the same type, from 1968.
If this is a font (not lettering) then it’s most likely a phototype face which has not been digitized. Unfortunately, I am not near my books but likely candidates are LetterGraphics or Headliners. I have the 1971 Photo-Lettering index here and it’s not in it. Related digital designs:
Giorgio
Timonium
Niagara