The ruling was made Wednesday in the case of Leatrice Brewer.
Attorney Peter Kelly had said she was seeking a share of the children's $350,000 estate as a way of blocking their fathers from getting the money.
Brewer's bid hinged on whether New York's "Son of Sam" law that bars criminals from profiting from their crimes applied to her case. But the judge at the Long Island hearing had noted that because she was never convicted, Brewer might not be subject to the law.
The money comes from lawsuits the fathers settled with Nassau County over claims that social services workers failed to properly monitor Brewer.