In 1948 'Public Prosecutor' was the first 'dramatic' series 4 TV to be shot on film in the US. This wd be as close as you wd get to 'true crime' in that era (imo)...72 years ago. My, my, my, how police behaviour has changed! Note how everyone smokes cigarettes. Phillip Morris was their main sponsor...
For the best in true crime, daily, join CRIME INC ('it's not all death, theres cats n'shit') Facebook group - over 16,000 members