Would You? - Singin' in the Rain - Debbie Reynolds own voice

Irony of ironies - in a film that is all about dubbing actors, Debbie Reynolds herself was dubbed by Betty Noyes in this scene where she sings for Jean Hagen. I've restored Debbie's original vocal track. To hear Betty sing it:    • Would You  

Here's a trivia question: who dubbed Debbie Reynolds' voice when she was seen dubbing Jean Hagen's onscreen speaking voice in the film?
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From Hugh Fordin's "The World of Entertainment!":

In several scenes Debbie Reynolds is lip-synching and rerecording Jean Hagen's speaking voice. "We used Jean Hagen dubbing Debbie dubbing Jean," director Stanley Donen explains. "Jean's voice is quite remarkable, and it was supposed to be cultured speech - and Debbie had that terrible western noise."
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