Because of casting changes the name of the show was changed twice during its run. It was originally simply called "Valerie," to capitalize on the fact Valerie Harper was the star of the show. After she left at the end of the second season, the title was changed to, "Valerie's Family," even though Harper was no longer on the show, due in part to the hope she might return. For the fourth season through the end of the sixth, it was called, "The Hogan Family".
Though Josh Taylor was a regular on the show, the first two seasons only had him as an occasional character, appearing in only two or three scenes on each episode. When Sandy Duncan took over Valerie Harper's role in the third season, the producers decided to change Taylor's character to be home more often.