The title comes from the Lerner and Loewe musical/movie My Fair Lady (1964) which was based on the George Bernard Shaw play Pygmalian. # The original Broadway production of "My Fair Lady" opened at the Mark Hellinger Theater in New York on March 15, 1956, and ran for 2717 performances, which was, at the time, the longest run a Broadway show had ever had. To date (April 2009), the original production is still the eighteenth-longest-running production in Broadway history. The show won the 1957 Tony Award (New York City) for the Best Musical.
At one point Garry Marshall mentions the theme to "The Odd Couple", that theme also plays later on. Garry Marshall was the producer responsible for bringing the original run of "The Odd Couple" to television.
Jim Dial is upset with Miller doing a commercial endorsement, saying "The next thing you know we're doing commercials for TV's, satellite dishes, antacids and long distance carriers". Those ads were actually endorsed by those actors, in corresponding order, Faith Ford for TV's, Joe Regalbuto for the satellite dishes, Charles Kimbrough for the antacids, and Candice Bergen for the long distance carrier.