Greaves was elected to represent Mississippi's 18th district in the Mississippi Senate as a Democrat in 1895 for the 1896-1900 term.[1][2] He then represented Madison County in the Mississippi House of Representatives from 1904 to 1908.[1][2] He then represented the 18th district in the Senate again from 1912 to 1920, being re-elected in 1915.[1] From 1916 to 1920, he was the chairman of the senate's Public Works committee.[1]
Later life and death
Greaves stopped practicing law due to partial blindness.[5] In August 1940, he was killed in an automobile accident when the partially-blind Greaves stepped in front of an incoming car.[5] The driver of the car, Mrs. S. A. Terry, had swerved the car into an embankment in a failed attempt to avoid hitting him.[5] Terry was cleared of wrongdoing after initial questioning; the Investigating Patrolman found the accident "unavoidable".[5]