Sorry no one got back to you. I'm at a loss to say exactly what it is. Since it's in such confined locations, it probably rules out eczema, though you could try changing to a different laundry detergent.

Another idea I have is insect bites. There could be something in her room/in your house that is attacking her. If they haven't bitten you, remember that some bugs are more attracted to some people more than others. Location might have to do with it too.

As far as any other kind of rash, it's really something your doctor will have to look at. I would highly doubt that it is warts: they usually don't show up like that.

You might want to take her to a dermatologist or even an allergist to determine the cause.