I wouldn't use eyeglass cleaner. Might have something harmful in it. Go to a retailer and get some Plasma screen cleaner and use a microfibre cloth on it. And make her keep her lips off the screen.So, if I have a microfiber cloth (I have a couple bags of them here at work) and maybe a bottle of eyeglass cleaner?
Smudges on the screen .... My wife decided to show me how much she likes Matthew McCaunaheigh and kissed the screen during a movie. LOL