<P> My Fair Lady is a musical based on George Bernard Shaw 's Pygmalion , with book and lyrics by Alan Jay Lerner and music by Frederick Loewe . The story concerns Eliza Doolittle , a Cockney flower girl who takes speech lessons from professor Henry Higgins , a phoneticist , so that she may pass as a lady . The original Broadway , London and film versions all starred Rex Harrison . </P>
who wrote the lyrics for my fair lady
Alan Jay Lerner