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Hello,Thank you for allowing us to assist you with this problem. I am not fully aware of what prior steps you have taken.
Unfortunately I may not be possible to stop the child support for the reason stated in the last line of your post.
When a child receives any form of public assistance then the power of the receiver of the child support (you) to just terminate the support is removed. The government would have to consent to the termination of the child support and that just doesn't happen. If you did with to make the attempt then the mother would have to file a modification of child support petition in court and Social Services would have to agree but I seriously doubt that would happen.