Diziness issues at the age of 72.

My grandmother is 72 years old with some health issues 1. Blood Pressure for which she is taking the medicine. 2. Some issue in ear as she is unable to hear from one ear.(Issue is there from past couple of years) Everything was going as usual and in a normal routine when one day she had an attack of dizziness. She got so scared as she was not able to have a proper balance because of that. Then we showed this issue to a neurologist and she gave couple of medicines post which she felt better but still she was having minor attacks. Now after couple of months she is having similar attacks. I would want to know which specialist to consult as i want her to get rid of this problem as soon as possible. PLEASE GUIDE FOR THE SPECIALIST whether to consult a neurologist or ENT specialist.