Complex sentence: To avoid embarrassing his family if his show failed and to prevent being blackballed from future vaudeville bookings for having appeared on radio, Tracy decided to make his identity a mystery and borrowed a billing from the title of Frederick Lonsdale's play "The Street Singer".
Split into simpler sentences: To avoid embarrassing his family if his show failed and being blackballed from future vaudeville bookings for having appeared on radio, Tracy decided to make his identity a mystery. He borrowed his name from the title of Frederick Lonsdale's play "The Street Singer".