Career
She was the first wife of Cuban President Fulgencio Batista. Godínez was one of nine children born to Salustiano Godínez y Córdoba and Concepción Gómez y Acosta. She was born in a small farmhouse in the village of Vereda Nueva in the Havana province.
Her family later moved to Wajay, when her father got employment at the psychiatric hospital known as Mazorra until 1921.
Her family later moved to Calabazar, where she gave birth to a son, Felix Valdespino y Godínez (1922–1988). Batista would father and legally recognise a daughter, Fermina Lazara Batista y Estévez during this marriage.
Her grandson (son of Elisa) Raoul G. Cantero III would become a Justice of the Florida Supreme Court.