Actually, Hawn won the Best Supporting Oscar. The only two actresses I can think of are Audrey Hepburn for "Roman Holiday" (though she was in minor roles before "Holiday", her credit was "Introducing Audrey Hepburn") and Barbara Streisand for "Funny Girl", which she shared with the other Hepburn, Katharine (it was Katie's fourth). The only other time any two actors/actresses shared Oscars was in the 30's, when Wallace Beery in "The Champ" and Frederic March in "Dr. Jekyll and Mr. Hyde" tied.
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Terry Bigham