Arnold was born February 25, 1922 to Birk and Willie Graham in Prescott, Arkansas. He joined the United States Army on October 22, 1942. After serving he was honorably discharged. Arnold married Alice Waldo in September of 1955 in Espanola, New Mexico. They moved to Amarillo in 1959, where they made their home and raised their family. He was a mechanic for J. Lee Milligan until he retired in 1984. He was a member of Mount of Blessing Seventh Day Adventist Church. He never met a stranger and was always willing to help anyone. He loved to cook , tell stories and take care of his dogs and cats. Arnold could always make people smile and laugh.
He was preceded in death by his parents, his son Billy Graham, his sisters Margaret, Mary, Margie, and Lou.
He is survived by his wife Alice Graham, three sons Bob Graham and wife Bobbie, Donald Graham and wife Rhonda; Thomas Graham and wife Pam. His sisters Bobbie, Pat and Sarah, his brother Willie. Eleven grandchildren and eleven great grandchildren.