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WCBI-TV reports that complete but unofficial returns from Tuesday's balloting showed Jones defeated Roger Liddell by a vote of 2171 to 1780.
The special election was ordered by a judge who found some absentee ballots were not properly processed in the August 2011 Democratic primary. Liddell had defeated Jones in that election.
No other party fielded a candidate for superintendent in the November 2011 general election.
Liddell had been on the job as superintendent in Noxubee County since January.
Liddell could challenge the results of the election. His attorney said Wednesday they haven't made a decision on what to do.