The responsibility for paying child support typically lies with the biological parents of the child. In the scenario you've described, the biological father of the child would be responsible for paying child support.
However, legal matters related to child support can vary depending on the laws of the specific country or state involved. The legal system generally recognizes the biological parents' responsibility for the financial support of their children, regardless of their marital status.
If the woman's husband acknowledges the child as his own and chooses to raise the child as his own, he may also be considered a legal parent and may assume financial responsibility for the child, including child support. This can happen in cases of adoption or when the husband voluntarily accepts the child as his own, even if he is not the biological father.
It's crucial to consult with a family law attorney or seek legal advice in the specific jurisdiction where this situation is occurring to understand the legal rights and responsibilities of each individual involved, as the laws and regulations can vary significantly depending on the location. Additionally, court orders or custody arrangements may also impact child support determinations in such cases.