It appears she was named in honor of her mother and her late maternal grandmother, the noblewoman Annia Cornificia Faustina.
The maternal grandmother of Annia Faustina was the sister of the Roman Emperor Marcus Aurelius and her maternal grandfather was Gaius Ummidius Quadratus Annianus Verus a Roman Senator who served as a suffect consul in 146.
She was the great niece of Marcus Aurelius and through her mother, Annia Faustina was a distant relative of the ruling Nerva–Antonine dynasty of the Roman Empire.
The mother of Annia Faustina in 182 was involved in a failed plot to kill her first maternal cousin the Roman Emperor Commodus.
There is an inscription dated in 207, stating that the owners of the estate were Annia Faustina and Tiberius Claudius Severus Proculus.
About 216, Severus Proculus may have made a political alliance with a Roman Senator who was a member of the Pomponia gens.