The first time she does this on the carpet, remind her not to. The second time send her to sit away from the carpet on the other side of the room. For the lying, don't bother to ask her. If you know she has done something then reprimand her and punish her if necessary, but don't give her the opportunity to lie. Keep a close eye on her so if she turns round to speak or distract others then you have seen her, you don't need to ask her or others.