He was born circa 1697. His father was Juan Rodriguez Baca, and his mother was Antonia Sanchez de la Barrera.
He married Maria de Uribe, daughter of Phelipe de Uribe and Maria de Treviño.
Maria Rita Rodriguez Baca. She married Lorenzo Serna in Cerralvo. She married Francisco Antonio Capistran in Cerralvo.
In 1767, as an antiguo agregado, he was granted Camargo 49 by the King of Spain.