When I have a cough I use a hot shower to get rid of the cough.
I turn the water up as hot as I can safely stand the shower water and then take a steamy hot shower.
The steam helps to add moisture to my lungs and helps me stop coughing.
You can also use a humidifier or vaporizer to add moisture to the air and then safely stand over the vaporizer or humidifier and inhale the steam.
Vicks Vaporub also helps to get rid of coughs as well as Halls Cough Drops.
You can also drink some warm tea with honey to help cure a cough.
Honey makes a natural home made cough syrup.