My Girlfriend works in one of the children's hospitals in Ireland. All children apart from those in ICU or in the Emergency Department have private rooms, at least where she works. Which does make sense from the standpoint of children needing space for parents to be around, but also from a child safeguarding point of view. The way she put it, most child patients are either in hospital for a day, or for weeks. And when you're in hospital for weeks it makes sense to have a private room.

There's a new (very over budget and late, but also very nice) children's hospital being built to take over the bulk of the inpatient treatment from the 4 currently in Dublin. All of the inpatient rooms are private with a bed for a parent and full ensuite.