Complex sentence: Peggy says she is "not political" and is angry at Abe but mentions that she thinks Ken Cosgrove and Harry Crane should hire black singer, Harry Belafonte to sing Filmore's jingle, perhaps to pacify blacks in the south who have been boycotting Filmore.
Split into simpler sentences: Peggy says she is "not political" and is angry at Abe. Abe's comments have affeced Peggy however, and during a meeting with Ken Cosgrove, she mentions that she thinks Harry Crane should hire black singer, Harry Belafonte to sing Filmore's jingle, perhaps to pacify blacks in the south who have been boycotting Filmore.