General Crow was born in Bastrop, Louisiana and graduated Bastrop High School in 1955. He received a BS degree from Northwestern State College of Louisiana in 1959, simultaneously, Crow was commissioned a 2LT in the United States Army, as an Armor Officer, having completed Northwestern State's Army ROTC Program as a Distinguished Military Graduate.
He entered active duty at Fort Knox, Kentucky in 1959 as a Cavalry Officer and began what led to an extensive and impressive command history. He commanded a Cavalry Platoon and Troop in the 3rd Armored Cavalry Regiment, a Tank Company in 3rd Armored Division, and was an advisor to the Vietnamese 2nd Cavalry and 9th ARVN Infantry Division. He commanded one of the first Chieftain Tank Squadrons in the 11th Hussars (Prince Albert's Own), a British Cavalry Regiment posted in Bergen-Belsen, Germany. He commanded 3rd Squadron, 3rd Armored Cavalry Regiment followed by command of the 11th Armored Cavalry Regiment (Blackhorse) in Fulda, Germany. His last tactical command was as Commanding General, 2nd Armored Division (Forward) in northern Germany. His last posting was as Deputy Commanding General, US Army Japan.
General Crow was the 2012 recipient of the Order of Saint George Gold Medallion, Cavalry and Armor's most prestigious award. He is retired and is married to the former Virginia Ford Beard, also a 1959 graduate of Northwestern State College. They reside in their home state of Louisiana where he has served as a volunteer with several nonprofit charitable organizations.