Even though timeshares are a luxury, when you signed on the dotted line to buy that timeshare it's the same as if you signed a legal contract to buy your home, car, boat etc. .... stopping payments will definitely negatively affect your credit score and if you mortgaged the timeshare, that makes it even worse. I have no idea if they can put a lien on your home or income .... you might consult an attorney as to your options, if there are any.
R P.