'My Fair Lady' Couldn't Actually Dance All Night, So These Songs Had To Go - The show originally had other tunes that almost nobody knows. On Tuesday night, England's University of Sheffield hosted a performance of 7 songs that were dropped from the musical before its Broadway opening, some of which were being heard in public for the first time in almost 60 years. Depicted: Julie Andrews starred as flower girl Eliza Doolittle in the Broadway premiere of My Fair Lady.