Marta Kristen (Jiffy Snack Girl) would later go on to co-star with Bill Mumy (Jackie Chester) in Lost in Space (1965).
The house used is the same one as on Leave It to Beaver (1957) as both were filmed on the Revue / Universal set.
This was one of 17 episodes directed by Alfred Hitchcock himself. Bill Mumy, who was about age 7 when the episode was filmed, related in an interview that his Welfae Worker had informed the crew that Bill's time that day was ending in ten minutes, due to child labor laws. Anxious to get a close-up of Bill before they lost him for the day, he was asked to stand-in for himself while they light the shot. Not being a profressional stand-in, and given that he was only seven years old, Bill was fidgeting around on his mark. Exasperated at this, Hitchcock approached Mumy and told him "If don't stop moving about, I'm going to get a nail, and nail your feet to your mark. And the blood will come pouring out like milk. So stop moving!" Bill said this scared the shit out of him so much that from then on, he went out of this way to avoid waking past his office during his subsequent times he worked for him.
Bill Mumy would go on to portray another young boy who finds a gun in the Perry Mason episode The Case of the Shifty Shoebox (1963). Coincidentally, that episode was also the second episode of season 7.