He married Isabel de Abrego, daughter of Capt. Juan de Abrego and Teodora Martinez Guajardo.
Rosalia Gonzalez de Paredes. She married Pedro Joseph Sanchez Navarro.
Francisco Gonzalez de Paredes. He married Ana Maria Sanchez.
Josefa Gonzalez de Paredes. She married Joseph Ramos de Arriola, son of Juan Ramos de Arriola and Isabel Flores de Abrego.
Estefana Gonzalez de Paredes. In 1714, she requested a dispensation to marry Antonio Ximenez in Saltillo.
Salvador Gonzalez de Paredes. He married Ildefonsa Ramos.
Joaquin Gonzalez de Paredes. He married Luisa Muñoz.