Good question. In the past we've had some issues with this, and it's possible to mildly influence volume and "out in public" call frequency downward by asking. But it requires a combination of a thick hide and some institutional status to make it happen. If the person you are asking is a peer or a senior, forget it.
It's not that simple. She has been around a long time and even though she isn't a manager, seniority goes a long way at my company. My manager has mentioned it to her, but realistically that's as far as he can take it.
Ask for a place farther from her, perhaps switching with some other talkative colleague in a better spot. If manager rises eyebrows, argue that she is too loud and inconsiderate(unscrupulous) to other people. Even better if more colleagues share this view, make a move together.