His father was Capt. Blas Maria de la Garza Falcon Treviño, and his mother was Beatriz Gonzalez Hidalgo Navarro.
He married Teresa Guerrero.
Tomas de la Garza. In 1703, he requested a dispensation to marry Francisca Perez de Leon, daughter of Lorenzo Perez de Leon and Ana Maria Cantu del Rio y de la Cerda. In 1688, he requested a dispensation to marry Maria de Villarreal, daughter of Juan Bautista de Villarreal and Luisa de la Garza. He married Ysabel Gonzalez.
Catalina de la Garza. She married Salvador Ochoa de Elejalde, son of Martin Ochoa de Elejalde and Maria Rojo de las Ruelas.
Joseph de la Garza Falcon. In 1694, he requested a dispensation to marry Isabel de Arellano, daughter of Nicolas de Arellano and Lucia de la Garza. He married India borrada basal.
Jacinta de la Garza. She married Ignacio de Saldua.