S.W.
This is normal, however she could cause herself an infection. Keep her nails as short as is comfortable, and get her into the habit of washing her hands as often as she can with soap and water, especially after playing on the playground and using the bathroom. Keeping a band-aid on should help...get her to choose some pretty ones that she likes so that she doesn't pull them off. Remember that healing scabs itch, so keep some antibiotic ointment on them to keep them a little moist.