Its a birds instinct to want to be at the highest point no matter where they are. It could be your shoulder, the top of the cage or the top of the play stand. However, some birds are known to be cage aggressive and once away from the cage, the biting will stop. Does she come out of the cage by herself? If she does, try to get her to let you take her out. Don't back away when she bites, that's only showing her she can get what she wants by intimidating you. If you happen to get her out of the cage peacefully, reward her. If she bites while out of the cage, put her back in. She'll start to associate no biting with a reward and biting with being caged. This could be the start of teaching her not to bite.
I disagree with this, don't bother her if she is in her cage. Lots, and I mean LOTS of parrots are cage aggressive and do not like having people sticking their hands in their cage. Instead of asking her to accept you entering her space, open the cage door and just allow her to come out on her own. If the top of the cage is easily accessible and not too high for you to reach comfortably, this is a good system because the bird will learn that if she wants to interact with you she can move to the top (outside) of the cage, but if she wants to be left alone, she can stay in her cage and won't be bothered. Birds LOVE when people are predictably safe, that is, they thrive on relationships with clear communication. Just like a dog can learn that his crate is a 'safe' place where he can go when he doesn't want to be bothered, birds can learn that instead of biting you to tell you to back off, they can go into their cage and will be left alone.
Building on this concept, try not to get bitten. Like Temptations said, if you do get bitten don't pull away (just grit your teeth and endure), but generally, if you see the signs back off. What you want the bird to think is that if she communicates clearly that she would prefer not to be held (my bird puffs up and looks lowers her head), that she
doesn't need to resort to biting to tell you that. Because I have learnt to read my parrot and have respected her signals, she rarely ever bites me because I don't bug her when she doesn't feel like socializing. This is really important!
Now on the flipside of this, when she *does* step up - make it totally worth it! Feed her her favourite treat, make being with you a positive experience (talk to her, give her gentle scritches if she likes that, whatever) so that she learns stepping up and spending time with you is way more fun than staying in/on her cage.
The bottom line is that parrots, like people, respond to classical conditioning and have moods. If you want to have a great relationship with your parrot, show them that being with you is really rewarding and fun, and show them that they can trust you to respect their feelings.