Those cleaners tend to have alcohol in them, which is very harsh for an open wound and makes it heal a bit slower. It should only be used for two things- sterilizing earrings before putting a new pair in, and a quick daily clean. Putting a bit on a q-tip and wiping them quickly over the holes should be fine, and enough to clean them (once a day).
Insidethebeltway makes a good point as well- when you get a professional piercing from a tattoo studio, they often recommend a type of saline solution (I've only seen it sold in studios). However, several generations of children have had their ears swabbed with nothing more than rubbing alcohol, so it won't kill her (or hurt her significantly).
Started July 1, 2012 @ 290lbs