In order for them to adopt then they had to terminate your parental rights. That is a court proceeding in which yoiu have to be personally served with papers. I would first go to the family court where you lives when the adoption took place and look at the records. As to the support you have paid, the current answer in New York is no, but you should have a attorney in your area look this case over to see how a child support order was entered and then your rights were terminated
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Money paid for support is presumed to inure to the benefit of the child and is may not be recovered under New York law. Take some comfort in knowing that you provided something for your biological child. It was, regardless of her adoption, the right thing to do morally.