Complex sentence: In 1944 she married her former guitar teacher Paul Tutmarc; the couple had one daughter, Paula (born 1950), but split up in 1955, and Bonnie moved to Los Angeles.
Split into simpler sentences: In 1944 she married her former guitar teacher Paul Tutmarc. Bonnie and Paul had one daughter, Paula (born 1950); they split in 1955 and Bonnie moved to Los Angeles.