Hopefully you are exaggerating and your children aren't actually starving. You'll need to contact DSHS and apply for public assistance and get their assistance in sorting this out. You'll need to carefully explain that you are trying to escape an abusive partner, he is receiving benefits he doesn't qualify for. DSHS may decide to get some of the benefits back from the biological father. There are also issues of child support since the biological father still has parental obligation to support his biological child. You may end up needing a family law issues as well such as domestic protections orders, parenting plans and child support payments.