She formerly lived in Beachgate, Broker with her parents. According to Mikhail, she was born in Russia and raised in America ("I bring her here, I spoil her rotten..."), where she became Americanized. Much to her father's disapproval, she dated a biker, named Jason Michaels.
Events of GTA IV
Mikhail had her boyfriend chased down and killed by Niko Bellic. As well as his dislike of her boyfriend, Mikhail is generally extremely abusive of his wife and likely also his daughter.
After Mikhail Faustin's death
After her father's death, Anna and her mother had to move into a one-room apartment near Firefly Island, as the family's home was repossessed. She dated another man, who Ilyena feared, as she told Niko, was trying to "turn her into a stripper, or worse"; Niko locates the man and, depending on the player's choice, kills him or beats him until he promises to stay away from Anna. If you choose to kill him, IIyena angrily calls Niko to tell him that he is like Mikhail, while beating him into submission will result in a nicer phone call. However, if the player chooses to let the man escape, Ilyena will call Niko, tearfully telling Niko that Anna ran away with the man, and now she has nobody left.