The appointment was made by the city's Board of Aldermen.
The Daily Corinthian reports Elliott replaces Dianne Johnson, who recently retired after holding the job since 1980.
Elliott sells used automobiles and is manager of a real estate management company. He previously worked in management for Van-Atkins Department Stores and for ITT in inventory control. He is a lifelong resident of Alcorn County who graduated from Corinth High School and studied business administration at Mississippi State University.
He sought the office of tax collector in the 2011 Alcorn County election.