His award came for gallantry during the American Indian Wars. Glover was assigned to Company B, of the 2nd Cavalry Regiment. He left the Army in March 1881, and later served as a Major in the Quartermaster Corps from January 1917 to October 1919.
Thaddeus Brown Glover died on December 18, 1932.
He is buried at the Willow Hill Cemetery, in Southold, in Suffolk County, New York, United States.