Alvord, Benjamin was born on August 18, 1813 in Rutland, Vermont, United States. Son of William and Lucy (Claghorn) Alvord.
Graduated from the United States Military Academy, 1833.
Commissioned in 4th Infantry, United States Army, 1833. Served in Seminole War, 1835-1837, chief paymaster in Mexican War, 1846-1848, and in Oregon 1854-1862. Commissioned brigadier general United States Volunteers, 1862.
Paymaster general United States Army, 1872-1880. Author numerous articles on mathematics and geography.