Complex sentence: Ball was hired--but then quickly fired--by theatre impresario Earl Carroll from his "Vanities", by Florenz Ziegfeld from a touring company of "Rio Rita", and was let go from the Shubert brothers production of "Stepping Stones".
Split into simpler sentences: Ball was hired--but then quickly fired--by theatre impresario Earl Carroll, from his "Vanities", and by Florenz Ziegfeld, from a touring company of "Rio Rita". She was let go from the Shubert brothers production of "Stepping Stones".