hi, it is difficult to tell from a portal whether she has asthma or not. She requires further testing and observation. If her cough is relieved with those drugs, it is likely that she has allergic cough. It is too early to conclude that she has asthma. A careful followup of her symptoms would help. try to find out the factors that are triggering cough in her. An allergic panel test for common antigens and Ig E levels would help immensely in identifying the cause of recurrent allergic cough. hope this helped.