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OK. There isn't a specific medical condition except, perhaps, for rare disorders known as inborn errors of metabolism that causes anything like a real naphtha-like (mothball smell) odor, and that would be on the body as well as the breath. In your case, this could be either from a chronic sinus infection with some post nasal drip or from gastic reflux without too much indigestion. I would get a ct scan of your sinuses to look for the infection, and I would try Zantac or Pepcid AC to see if it is reflux, because, if it is, that would take care of the problem.