If you have a one-year-old baby who coughs a lot, especially at night, a possible solution is to use saline solution to help clear their sinuses. You can also consider using a nasal aspirator to prevent mucus from causing congestion and coughing. Applying a small amount of Vicks on the chest or back before bedtime may also help. Just make sure to use the appropriate product for children of that age. These methods can be used as often as needed during the day and at least 30 minutes before bedtime. Remember to consult with a healthcare professional for further guidance.