Anniston is a distinctive girls' name in United States, ranking #2961 in 2008 with 59 recorded births. The name reached its all-time peak in 2014 with 302 births ranking #898. Since 1996, the popularity has increased by 742.9%. In 2008, approximately 1 in every 32,046 girls born was named Anniston. FALLING Recent data shows the name is currently falling.