Even so, the child is doing what she has been taught by her mother. You seem to have a lot of anger towards the child, when the child is still too young to fully grasp the situation. For all you know, the child could be receiving a lot of pressure from her mother to ask these questions or trying to win her mother's love by reporting information she knows her mother wants. You have no idea what the child's life is like behind closed doors or why the child is asking these questions. You can kindly tell the child that it's "not polite to ask these questions" without assuming the worst about the little girl or directing your frustration at her (rather than at her parents or, if she does have MI, at a disease). At 11 years old, her behavior is not something she has full control over; she is still very much the product of her environment.