I think the worst I saw was a chinese woman who came in (on a WARM day) with her young toddler bundled up in several sweaters and a couple of heavy winter coats. She was convinced her child was sick because he was too hot. The poor nurse (they didn't actually make it in to see a doctor thank goodness) spent ages trying to explain that the kid was fine and had on too much clothing. The second the nurse left them the mom put all of the clothing back on the kid and left.
Even if the kid was sick the emergency room was unnecessary, that's what family doctors are for.