- When she wasn't working at shows, she liked to cook for her family and friends at home or dance at discotheques (especially Salsa and Meringue) or play with her grandson.
- Her son Antonio Morales became the father of two children, twins, on August 30th, 2003.
- Her stage last name, Dúrcal was chosen by Marieta herself when, blindfolded, she pointed to it on a map of Spain.
- Juan Gabriel composed a song for her, based on a personal experience, mostly as a tribute for her daughter: Amor Eterno (Eternal Love.).
- In 2020, she posthumously won the Spotify Award for Most-Streamed Female Artist by Users +45 Years Old.
- She was discovered in a TV quiz, "Primer Aplauso", and debuted in the cinema in 1961. She is a singer-actress.
- From 1999 till almost her passing, her younger daughter Shaila Dúrcal worked with her as chorister.
- Her daughter, Carmen Morales, has a son named Christian(b. 1996).
- The second "Dúrcal" to win fame in Mexico. The first one was Rosario Dúrcal. Dúrcal was a stage name for both actresses, who were originally from Spain.
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