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Luis Maza is the son of Manuel Maza and Baldamera Lastra Gomez. His siblings were Jose Maza, Gabino Maza, Antonia Maza, Isidro Maza, Maria Maza, Baldomera Maza, Manuel Maza, Mateo Maza, Alfredo Maza I, Alfredo Maza II, Esperanza Maza.
Luis Maza's wife is Asuncion Arroyo.