Woke up with the Dragnet theme, so I took a listen to one of the shows piling up on the feed from "Old Time Radio Detectives" (available free from the iTunes store). Such a great show. Here is an episode from May 4, 1950 called "Badge Bandit." Joe's mother is in it and so is a lady police officer. And if you smoke long cigarettes, smoke "Fatima" -- best of all long cigarettes.
It's wise to smoke Fatima.
This Illustration by the late Will Elder (d. May 2008) appeared in the story "Dragged Net," Mad Magazine no. 11, May 1954.