I tried this for my mate when he had a cough that just wouldn't go away. It may or may not work for you, but it worked for him.
4 parts dried Mint leaves (if you can't find dried fresh will work)
3 parts ground ginger
3 parts ground cinnamon
2 parts ground black pepper
1 pinch ground cloves
Mix together and put into a teabag. No teabag? Coffee filters work too. Just fill and tie the top so nothing falls out. Steep in 8 ounces of hot water for 5 minutes and serve hot.
Two cups in a day killed my mate's cold but take as needed for your situation. Good luck!