Anniston is a distinctive girls' name in United States, ranking #3449 in 2004 with 43 recorded births. The name reached its all-time peak in 2014 with 302 births ranking #898. Since 1996, the popularity has increased by 514.3%. In 2004, approximately 1 in every 42,700 girls born was named Anniston. FALLING Recent data shows the name is currently falling.