William Monroe (2) was born in 1841.
William stood 5’11” with hazel eyes, brown hair and a dark complexion and may have been a 23-year-old cabinet maker living in Adrian’s Second Ward, Lenawee County, Michigan, when he enlisted in Unassigned on March 5, 1864, at Adrian for 3 years, crediting Adrian’s Second Ward, and was mustered the same day at Detroit.
There is no further record.
In fact William probably never joined the Third Michigan but was probably the same William Monroe who enlisted in Company H, Third Michigan cavalry on March 5, 1864, at Detroit (age 22 years), and was mustered the same day. If so he survived the war and was discharged along with his regiment on December 12, 1866, at Detroit.