The Falcon in Hollywood(1944)

Suave amateur detective Tom Lawrence--aka Michael Arlen's literary hero The Falcon--arrives in Hollywood for some rest and relaxation, only to find himself involved in the murder of a movie actor. There's no shortage of suspects: the costume designer to whom he was married, a tyrannical director, a beautiful young French starlet, a Shakespeare-quoting producer, even a New York gangster. Helping The Falcon solve the crime is a cute, wise-cracking cab driver and a pair of bumbling cops.