Storage of asthma inhalers in schools

I am in the process of fighting with my daughters school for keeping her asthma inhaler in the school office, and that medical information had not been passed on to the teachers. She had sports day last week and needed her inhaler and staff were not aware she was asthmatic and not brought her inhaler to the sports day that was a 15 minute walk from the school. Should inhalers not be kept in childrens classrooms?