Criminal Law Questions? Ask a Criminal Lawyer.
How old is the child? What is the crime? What state do you live in?
Only a court can make changes to a child support payment, even though the child might not be in the custody of the other parent. If you have joint managing conservatorship, you should be able to find out directly from the police where your child is and what he is charged with.
If you stop paying without a court order, then you could be liable for failure to pay child support, get sent to jail, have wages garnished, etc... but this is a change in the circumstances of the child so you might be able to get your payment changed. You need to see a lawyer about this. Whatever you do, do NOT stop paying child support on your own. You need a court order to change what you are paying.
Hope this clears things up. Good luck to you and your family!