 They have a son, Arthur Jr., whom they sent off to military school on Mama Carlson's advice; this proved to be a mistake when it turns "Little Arthur" into a nasty, racist, borderline fascist.In the first season, Mr. Carlson takes his son out of military school, to live with his parents and go to public school, but later references suggest that Little Arthur gets worse, not better; in one episode, it is revealed that Little Arthur wants to join the American branch of the Nazi Party, and in another it's stated that he wants to join the PLO.During the course of the series, Carmen has a surprise pregnancy and, after she and Arthur decide they want the baby, she gives birth to a daughter, whom she and Arthur hope they can raise their own way, without the mistakes they made with their son.