Is there a TV show about the laurie show murder?

Laura was a film-noir crime drama made, I believe during the War ( World War II) It is not military-oriented but is a crime drama about a detective investigating the murder of a socialite or actress- who then finds out she is very much alive! Murder with a positive ending- but admittedly some trick circumstances. It was a very popular and somewhat controversial film but not in the same league with the more orthodox Dragnet type programming. As far as I know it was based on fiction.