Unfortunately, this seems like a case of buyer beware. You did have a chance to inspect the car before you purchased it. You did not solely rely on the seller's representations.
Was the car sold "as is" or with warranty? If it was sold "as is" you will have little to no recourse. While NY does have a limited lemon law, it is unlikely that this car will be covered. Here is the NY lemon law (http://www.ag.ny.gov/consumer-frauds/used-car-lemon-law-fact-sheet).
Who signed the title over to you? Did the seller sign her father's name? Did you notice this when you originally purchased the car?
A letter from an attorney may get a response out the seller. Contact an attorney and make sure you have all the paperwork.
Hope this is helpful.
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