This is the first episode that aired after the death of Rose Marie's husband, Bobby Guy, on 27 May 1964.
Sally says, "I can handle Herman. It's not Herman, it's his mother, 'White Fang'". White Fang was the eponymous wolf-dog in a popular novel by Jack London as well as "the biggest and meanest dog in the USA", a regular character on the Soupy Sales Show.
Rob calls Laura "Mr. Moto". From 1935 to 1967 Mr. Moto, secret agent and detective, appeared in 6 novels, 8 movies, and several radio shows. Moto was a martial arts expert; even Peter Lorre played Mr. Moto as an action hero.
The title is a variation of the childhood boast: My father can beat up your father!