His father was Pedro de Elizondo, and his mother was Maria de la Garza.
He married Maria Antonia de la Cerna Alarcon, daughter of Joseph Antonio de la Cerna y Alarcon and Maria Josefa de la Garza.
Maria Josefa Elizondo. She married Pedro de la Garza, son of Isidro de la Garza and Agustina Quintanilla.