Hi, there are several causes of painful lump on the side of neck area in a child like swollen lymph node either due to infection, tumour, injury etc, any cyst like sebaceous cyst/ abscess, hematoma formation following injury or bug bite. Asthma is not directly related to swollen lymph nodes but can occur following infection. you should consult a paediatrician as soon as possible. some physical examinations along with history and some investigations like total blood count, DLC, FNAC of lump and chest x ray will help for reaching at proper diagnosis to your doctor. Take care of her, bye.