Mixing apple cider vinegar and honey is a popular cure for the cough.  A more 'folksy' remedy is to soak apple cider vinegar in some cotton and apply it to your wrist (no idea why this would work).

Honey and lemon juice is a popular cure too.

A popular suppressant available in many state OTC is codeine (available in cheracol cough syrup, guiatuss AC syrup, mytussin AC, robiitussin A-C or tussi-organidin NR liquid).

Other tricks are mustard, licorice, and horsehound.  Beware of licorice as some say it can cause sexual, urinary, hormone and blood pressure issues.