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Well, it's not really Frankie Foster who sings, but rather the voice behind her: uber-talented voice actress and musician Grey Delisle. According to music blog songs:illinois, Delisle lent her talent to an upcoming tribute album for June Carter Cash. Delisle's rendition of "Big Yellow Peaches" is absolutely moving and will surely leave the listener spellbound. (It reminded me of something sung by Elysian Fields, albeit with a less husky voice).
Here it is for your listening pleasure:
Grey Delisle - Big Yellow Peaches