Balaiza by Lucien Lelong: launched in 1947. It was a type of skin softening cologne and was available in several Lelong fragrances: Whisper, Indiscret, Balalaika.
Balaiza was not the name of a distinct fragrance, it was the name of a line of Cologne Splashes.
Hearst's International Combined with Cosmopolitan, Volume 122, 1947:
"Use Balaiza after the bath, and through the day. Sense its lovely fragrance that clings and clings. See what tender ways it has with your skin. In these famous Lucien Lelong fragrances . . . Whisper, Indiscrete, Balalaika. "