This episode aired January 17, 1962, and considering that Ann Morgan Guilbert's daughter Hallie Todd was born January 7, 1962, and Anns attire during the episode, she may well have been pregnant during filming.
The officer says he wants tickets for his relatives from Danville, Illinois. Dick Van Dyke grew up in Danville, Illinois.
Notice in this episode that Richie refers to Jerry as Dr. Helper. In all other episodes he refers to Jerry and Mille as Uncle Jerry and Aunt Millie.
The title is a parody of the biblical commandment to "Love Thy Neighbor".