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Joseph Anasthase Garceau is the son of Marcellin Garceau and Julie Duquette. His siblings were Marie Cordelia Garceau, Delia Garceau.
Joseph Anasthase Garceau's wife is Marie Melanise Dumesnil. They were married 25 JUN 1919 in St. Bernard Parish Lacolle, PQ. They had one known child named Albertine Garceau.