She Wrote The Book 1946. Joan Davis, Jack Oakie, Mischa Auer, Gloria Stuart, John Litel
A plain-Jane math professor (Joan Davis) at a small midwestern college is talked into journeying to New York on behalf of a colleague who has written a steamy bestseller under an assumed name. While in the big city, the math prof receives a bump on the head which brings on a form of amnesia. She begins to believe she is the author of the sultry book, and has actually lived its story.