Some more that are 5,4
Grace Hart is an FBI agent played by Sandra Bullock in the 2000 film Miss Congeniality and its 2005 sequel Miss Congeniality 2: Armed and Fabulous
• Nikki Hill is a prosecutor in Los Angeles in a series commenced 1999 by Christopher Darden and Dick Lochte.
• Nikki Heat is a homicide detective in New York City in a series of books by American novelist Richard Castle (debuted 2009).
Laura Holt is the head of the Remington Steele Agency, played by Stephanie Zimbalist in the TV series Remington Steele from 1982 to 1987
Irene Huss is a police detective in novels 1998-2007 by Swedish writer Helene Tursten
Sarah Lund is a police Detective Inspector, played by Sofie Grabol, in a 2007 Danish television series “The Killing” (“Forbrydelsen”) in which each episode covers a day in the investigation of a murder. A second Danish series was broadcast in 2009. The series was re-made in English for AMC and broadcast in 2011 with Mireille Enos playing the lead detective, renamed Sarah Linden, with the story transposed to Seattle
Hilda Wade is a nurse who solves crimes with a medical theme in stories by Grant Allen (early 1900s).
Honey West is a private detective in a series of eleven books by "G. G. Fickling" (debuted 1957); played by Anne Francis on the 1965-1966 ABC series Honey West