Usually cough is a symptom of a respiratory infection. Identifying the correct location of an infection (nose, pharynx, larynx, trachea, bronchi or lungs) is determined only after a physical examination. Throwing up can be due to a stomach problem or be caused by irritation of the pharynx caused by the respiratory infection. Children your daughter's age (6) have active imaginations and some of their behavior may seem like hallucinations. Hallucinations are very serious symptom and they have to be confirmed by a mental health doctor before diagnosed.