His father was Mateo de Barraza, and his mother was Bernardina Suarez.
He married Margarita de la Peña, daughter of Juan de la Peña Arce.
Juana de Barraza, born 1638. She married Lucas Caballero de los Olivos, son of Pedro Caballero de los Olivos and Margarita Rodriguez on 8 Apr 1657 in Santiago Papasquiaro. Her husband died on 12 Jul 1690 in Monterrey. He was 55 years old.