Many doctors are reluctant to give the diagnosis of asthma in young
children (under 8 yr). This could be why they are not going there.
Try keeping a diary af her symptoms and any possible triggers - pollen counts available on line (I can give you a link if you want one), animal exposures, diet, where she was at the time of the attack, any odors present (fragrances are major triggers for many people but any chemical smell as well), weather or weather changes...