How can I find my maternal grandmothers birthplace?

Her name is Beatrice Trevino Nunez. Her first marriages last name was Gonzales. She was born November 10, 1921. She lived in and out of orphanages so she is unsure which state she was born. She had 4 other sibllings, 1 which has already passed. Her mothers name is Marianna Lopez and her fathers name is Frank (Francisco) Trevino. Since he father was in the military, she moved often but mostly around Michigan, Washington, New York and Mexico.