I need to ask few more questions before answering your query. Early consultations can prevent complications. Kindly contact me on whatsapp chat  (84960595 six five) Dr Faisal Zoheb MBBS , MD PAEDIATRICS , PGPN (BOSTON), FELLOWSHIP IN NEONATOLOGY ( Newborn and vaccination specialist )

Consult paediatrician to check for inhaler techniques and dosage of drugs being used.

Greetings cough lasting a month with normal blood and chest X-ray findings commonly points toward conditions like cough-variant asthma, protracted bacterial bronchitis (PBB), or upper airway cough syndrome from post-nasal drip. Since she is already on an inhaler, you should consult a pediatric pulmonologist to see if the medication type or dosage needs optimization. The specialist may recommend a spirometry lung function test or an allergy workup to check for specific environmental triggers

Above all

Continue Cough for 1 month is serious and child should be examined physically in person

Visit physically to nearby pediatrician