Hi, Frequent coughing in children is usually caused by respiratory infections, such as the common cold, flu, bronchitis, or pneumonia. It s possible that your child s cough and loss of appetite could be related to the ear infection she was prescribed antibiotics for, as ear infections can sometimes cause coughing and make it difficult to swallow. It s important to note that vomiting and nosebleeds are not common symptoms of respiratory infections or ear infections. Vomiting during a coughing episode can sometimes indicate that your child s cough is causing her to gag or swallow excessive mucus. Nosebleeds can sometimes occur when children are coughing hard or blowing their nose frequently, as this can irritate the nasal passages and cause tiny blood vessels to break. If your child s symptoms persist or worsen, you should take her to see a doctor as soon as possible. It s possible that her coughing could be caused by something more serious, such as asthma or pneumonia, which would require medical attention. Additionally, her loss of appetite could be a sign of dehydration, so it s important to make sure she is getting enough fluids. In the meantime, you can try to soothe your child s cough by encouraging her to drink plenty of fluids and using a cool mist humidifier in her room. Avoid giving her cough medicine without first consulting with her doctor. If your child s symptoms are severe, she is having difficulty breathing, or she seems lethargic or unresponsive, seek emergency medical attention immediately. If you require a personalized response, kindly use the Ask A Doctor service and post a follow-up. Take care. Hope I have answered your question. Regards, Dr. Priyanka, General & Family Physician