He was born circa 1591. His father was Marcos Alonso de la Garza y Arcon, and his mother was Juana Treviño Quintanilla.
He married Beatriz Gonzalez Hidalgo Navarro, daughter of Marcos Gonzalez Hidalgo and Mariana (Juana) Navarro.
Blas de la Garza Falcon. He married Teresa Guerrero.
Margarita de la Garza. She married Pedro Flores de Abrego, son of Pedro Flores and Melchora Gutierrez de Abrego.
Beatriz Gonzalez (de la Garza). She married Gregorio Fernandez de Tijerina. Her husband died before 12 Feb 1688. He was 63 years old.
Miguel de la Garza Falcon. He married Gertrudis de Renteria, daughter of Jacinto Garcia de Sepulveda and Clara de Renteria.
Juana de la Garza Falcon. She married Lorenzo Garcia Gutierrez de Lara, son of Lorenzo Garcia and Leonor Abrego Gutierrez.
Lazaro de la Garza Falcon. He married Petronila de Montemayor, daughter of Miguel de Montemayor and Monica Rodriguez Treviño. He married Maria Inez Saldivar Sosa y Ayala, daughter of Diego de Ayala Treviño and Margarita Saldivar de Sosa on 1 Oct 1673 in Monterrey.
Melchora de la Garza. She married Juan Flores de Abrego, son of Pedro Flores and Melchora Gutierrez de Abrego?.
Luisa de la Garza Falcon. She married Antonio Uribe de la Cadena Vergara, son of Jose Uribe y Vergara and Maria de la Cadena Pacheco. Her husband died in 1678 in Monterrey. He was 36 years old.
Leonor de la Garza. She married Nicolas de Cerna y Alarcon Contreras, son of Francisco de la Serna and Catalina de Alarcon.
Maria de la Garza. She married Francisco de Uribe y Vergara, son of Pedro Uribe y Vergara and Ana Leonor Tovar.
Francisca de la Garza. She married Juan de Pedraza.
Isabel de la Garza. She married Nicolas Ochoa de Elejalde, son of Martin Ochoa de Elejalde and Maria Rojo de las Ruelas. She married Bernabe de las Casas, son of Bernabe de las Casas and Maria Beatriz Navarro Rodriguez.
Apolonia de la Garza. She married Juan Gonzalez de Paredes, son of Juan Gonzalez and Maria de Olea Camacho.
Antonia de la Garza Falcon. She married Mateo de Yrigoyen.
Sgt. Major Juan de la Garza Falcon, born 1620. He married Margarita de Montemayor, daughter of Miguel de Montemayor and Monica Rodriguez Treviño.
Maria Inez de la Garza, born 1633. She married Diego Rodriguez de Montemayor, son of Miguel de Montemayor and Monica Rodriguez Treviño in Monterrey. She died on 12 Mar 1690 in Monterrey. She was 57 years old.
Francisco de la Garza Falcon, born 1640. He married Leonor Garcia de Sepulveda, daughter of Jacinto Garcia de Sepulveda and Clara de Renteria.