Louanne, played by Elizabeth Allen, jokingly asks Kimble whether he's one of the Rover Boys, an allusion to a series of juvenile books written by Edward Stratemeyer under the pseudonym Arthur M. Winfield. Edward Stratemeyer is perhaps better known as the author of another juvenile series: The Hardy Boys.
They don't appear in any scenes together here, but David Janssen and Lana Wood, who plays the tennis partner flirting with Lee Bowman's character, would co-star a few years later in the pilot for the short-lived TV series O'Hara, U.S. Treasury (1971).
Although Phyllis Thaxter and Lee Bowman both got their start in acting more than 20 years prior, appearing throughout that time in multiple A-level movies, this is the one and only time they appear in the same production.
This is the second of three appearances Elizabeth Allen makes in the series: the first being Terror at High Point (1963) and the third The Evil Men Do (1966).
When the young hipster gets on the bus near the end of Act IV, he says to Kimble, "Ah, Kemo Sabe, Tonto got message," mimicking Jay Silverheels's character in the 1950s TV show The Lone Ranger (1949). The actor Jay Silverheels played the character Tonto, while Clayton Moore was the title character in this very popular show.