It is Seasonal Haemoptysis.
It is due to flu like infection of lungs and bronchioles, that mostly occurs in winter season.
Other serious conditions like cancer/tuberculosis/ COPD causes cough with blood all the year around ( and not seasonal)...
So it is ruled out in this case.
Next Steps
1)Cough Syrup.
2)Bronchodilators.
Health Tips
1)Practise good hygiene by washing your hands and your children’s hands often.
2)Make your home smoke-free. Passive smoking makes children and adults more prone to respiratory infections.
3)Avoid smoking as it damages the lungs.
4]Cough and sneeze into your sleeve.
5)Exercise, follow a balanced and healthy diet with plenty of fruits and vegetables, and drink plenty of fruits.