Child with an ear ache. any natural or homeopathic medicine that has been proven helpful?

Warm olive oil: A few drops in the external ear canal may give temporary pain relief for an internal ear infection(just make sure it is not hot, test it on yourself first), a few drops of vinegar in the ear canal will help with swimmer's ear (outer ear infection).

Kids' ear aches: Yes -- pulsatilla, belladonna, chamomilla are a few. Their use depends on the specific symptoms and signs the child displays. Consulting a well-trained homeopathic practitioner can get closer to what's needed in an individual case.