A theme park is not an absolute insurer of the safety of guests including the visitors who are children. That seems like a complicated statement. Let’s simplify it. Just because an injury takes place on the grounds of a theme park - that does not mean that the theme park is liable or responsible for the injuries and medical bills. Here is an example. A child is walking on the grounds of the theme park. Out of the blue, the child collapses and is taken to the local hospital. It is determined that the child had a congenital defect with her heart. Under this basic fact scenario, the theme park did not cause or contribute to the child’s collapse or condition in any manner. The theme park’s only connection with this medical incident or complication is that the child collapsed while visiting the theme park. Under this fact scenario, there would be no liability or responsibility on behalf of the theme park, its managers, or its employees.
Let’s now explore a different scenario. A child is visiting the food court area of a theme park. Near the ketchup and condiment area, the child was cut or lacerated by a sharp edge. The trim around the edge of the counter was worn and ripped away. The child required nine stitches. Under this scenario, it appears that the theme park and its staff knew or should have known about the dangerous area. There was a duty to properly and reasonably maintain the food court area and the theme park breached this duty. As a result of the breach of duty (causation), the child suffered injuries (damages) in the form of the laceration to the hand.
The book titled - The ABCs of Child Injury - Legal Rights of the Injured Child - What Every Parent Should Know - has chapters on Amusement and Theme Park Injuries, Swimming and Water Park Injuries, Playground Injuries, and other topics. You can get this book for free at The ABCs of Child Injury.