That might work too. The man who doesn't want to support a child that might result, should present the woman with the paper and have her sign it before they conceive that child stating he will not be financially responsible for it.
IMO, it should be the biological father and mother unless other arrangements are sanctioned by a judge (ie, adoption, foster parents, etc.).
Better yet, any man or woman that doesn't want to support a child for one night of "fun" might be better advised to either keep their pants zipped up or make sure they use damn' good birth control.
When you play, eventually you pay.
Personal responsibility. Catch it.