He married Gertrudis Peña.
In 1782, he lived at El Arcabuz. The church census recorded that he was married, español. His household included 6 people:
Jose Francisco Gonzalez, español, married.
Gertrudis Peña, española, married.
Maria Anastacia Gonzalez, española, single.
Maria Gerarda Gonzalez, española, an unmarried girl.
Jose Timotheo Gonzalez, español, a youth.
Maria Rosa Garcia, española, a widow, age 60.