- Son of Violeta Parra and Luis Cereceda.
- Younger brother of Isabel Cereceda (aka Isabel Parra).
- Half-brother of Carmen Luisa Arce and Rosa Clara Arce (died of baby).
- Nephew of Nicanor Parra, Hilda Parra, Lalo Parra, Roberto Parra, Caupolicán Parra (died of child), Elba Parra, Lautaro Parra, Óscar Parra and Olga Parra.
- Became a father for the 1st time at age 22 when his 1st wife Marta Orrego gave birth to their son Ángel Cereceda (aka Ángel Parra) on May 22, 1966.
- Became a father for the 2nd time at age 24 when his 1st wife Marta Orrego gave birth to their daughter Javiera Cereceda (aka Javiera Parra) on May 19, 1968.
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