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