Danny Thomas was forced against his will to have Jean Hagen as his TV wife. He could not stand her attitude or what he considered her slovenly appearance. During one rehearsal he is said to have have shouted "For God's sake, Jean, put on a little lipstick". She left after the third season and, at the beginning of the fourth season, to assure that she could not come back he had her character die.
Penney Parker beat a then-unknown actress named Mary Tyler Moore for the role of Terry. According to Danny Thomas, the only reason Parker got the part was because he felt Moore's nose looked different enough from his so that nobody would believe she was his daughter.
The title "Make Room for Daddy" actually grew out of an in-joke within Danny Thomas's family. Whenever Danny was away on a nightclub tour, his children more or less had the run of the house. When he returned from a tour, it was time to spread out and "make room for daddy", hence the show's title.
Make Room For Daddy and Good Times have one thing in common. Ironically, they both were two shows that consisted having a parent being killed off after three seasons as a result of the actress/actor leaving the series. About two decades apart. Jean Hagen as Margaret Williams on Make Room For Daddy in 1956 and John Amos as James Evans on Good Times in 1976.