Sergeant Crosby was a member of Company F, 2nd Battalion, 7th Cavalry Regiment, 1st Cavalry Division. He was Killed in Action while fighting the enemy in North Korea on 30 November 1950.

Crosby was awarded the Purple Heart, the Combat Infantryman Badge, the Korean Service Medal, the United Nations Service Medal, the National Defense Service Medal, the Korean Presidential Unit Citation and the Republic of Korea War Service Medal.