Really this would be from the discussion that this spun from, but in my opinion it would be wrong to leave patients children alone at the house. So you would have to take them with you. You would have to properly secure them. No lights and sirens. Drive obeying all laws. Children are a distraction and also are very well known for not staying buckled, do not put them at further risks. If possible meet LE or FF enroute to hospital and dump the kids on them so you can focus on patient care.