I agree with you Kitty, it does happen quite often, what women can do is find legal aid in their area where they don't have to pay for the lawyer if they're not financially able.
My best advice for them is to call their local Legal Bar Association and they will direct them, they can also contact their states child enforcement agency and apply for service.
In recent years the States have stepped in and started acting as the middle-man but in a lot of older divorces they never were involved and in some states the state only gets involved in the actual payments if the mother is getting State Aid or if the payments aren't getting there at all.
And on another note, parental rights and duties are INDEPENDENT with respect to an existing parent/child relationship. This means that a parent has the right to maintain a meaningful relationship with his/her child. This right is neither dependent upon nor contingent upon the parent fulfilling duties, i.e., paying support.
Some custodial parents will often times refuse to allow noncustodial parents the right to visit their children because support obligations have not been paid or are overdue. However, if support is not being paid, the custodial parent may not lawfully withhold visitation. Rather, the custodial parent must seek to enforce the duty of support in a court of law. The right to a meaningful relationship with one's child is NOT dependent on the duty of support. In this respect, rights and duties are independent.
Visitation is presumed to be in the best interests of the child. However, that presumption can be rebutted.