Anniston is a distinctive girls' name in United States, ranking #4117 in 2003 with 32 recorded births. The name reached its all-time peak in 2014 with 302 births ranking #898. Since 1996, the popularity has increased by 357.1%. In 2003, approximately 1 in every 57,095 girls born was named Anniston. FALLING Recent data shows the name is currently falling.