 Morrow was born in Harlingen, Texas, on October 15, 1935, and raised on a cotton and carrot farm on the outskirts of San Benito, Texas.Before becoming a sprinter, Morrow played football for San Benito High School.Morrow also was a sprinter at Abilene Christian University, and became a member of the men's club Frater Sodalis in 1955.