Hello there, as you said your mother is having cough problem since 4-5 months and not cured, she need some antibiotics and proper Medication to get cured.
For that you must give detailed history of Medication for proper treatment.
Your mother will be alright, she just need a Good Doctor.
Next Steps
Send older prescription to avoid repetition and overdose and We will start with proper Medication, and your mother will be alright soon.