He was born in Cerralvo. His father was Francisco Narciso de la Garza Falcon, and his mother was Maria Chapa. In 1750, he lived in Camargo. The census recorded that he was the head of a household, a sergeant, and español. His household had 7 people, including one servant, and they received government aid to move to the colony. He owned Porción 58, Camargo.
He married Josefa Guajardo, daughter of Jose Martinez Guajardo de la Garza and Margarita Gertrudis Gutierrez de Castro. She owned Porción 73, Camargo.
Maria Margarita de la Garza Falcon. She married Ramon Gonzalez de Ochoa, son of Juan Jose Gonzalez de Ochoa and Maria Josefa Guadalupe Lopez de Jaen in Cadereyta.
Maria Damiana de la Garza Falcon, born 1743. She married Tomas de la Garza.
Maria Teresa de la Garza Falcon, born 1746. She married Jose de la Garza.
Maria Gertrudis de la Garza Falcon, born 1747.
Maria Ignacia de la Garza Falcon, born 1748. She married Jose Salvador Garcia, son of Diego Garcia and Maria Salome (Jacoba) Vela.
Porción 58, Camargo