Hello Gogo-ga, and thanks for a challenging question.
According to an October 8, 1991 article in the Memphis newspaper, The
Commercial Appeal, Joann Biggers was running against Travis Little in
Mississippi's District 4 for a seat in the State Senate.
Oddly enough, I could not find any newspaper articles announcing who
won the election. The Mississippi papers of the time are not well
archived, I've found.
However, Mr. Travis went on to have a very successful political
career, from which the outcome of the 1991 election is obvious. At
the Mississippi Senate homepage:
you'll find not only a biography of Travis Little, as well as the fact
that he is President Pro Tempore of the Senate, but you will also note
that his service as a Senator began in 1992.
So obviously, he won, and Joann Biggers lost.
I hope this is the information you needed. If you feel the question
is not answered to your satisfaction, please post a "Request for
Clarification" before rating this answer.
search strategy: searched newspaper files for "Joann Biggers,
Mississippi" and then perused the Mississippi State Senate list of