The name Anniston is a girl's name of English origin. Anniston and is often added to lists like American Names for Girls and discussed in our forums with posts like "This or That? Girls with middles".
From the experts:
Actor couple Chyler Leigh and Nathan West added this one to the lexicon when they adapted the surname of actress Jennifer Aniston as their daughter's first name. Aniston, which theoretically might mean "Agnes town," was actually Anglicized from the Greek Anastasopoulos. With its similarity to both Addison and Anna and its relationship to the attractive star, Anniston is taking off a la Jolie.