Consult with a local family law attorney. If one parent has custody, then the other can seek visitation, whether supervised or unsupervised depends on the facts.
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If one parent has sole physical custody, the other parent can still have parenting time/visitation. If the parents share joint legal custody, then both parents have the right to make major decisions, etc. You can bring any relevant, admissible evidence into court to support your application; however, without knowing the specific details of your situation, it is impossible to tell you which evidence you should or should not submit and/or how to go about obtaining it. I suggest you have a confidential consultation with a local attorney to sort this out. Good luck!
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You seem to be stating that you want to know how to change residency of the child from the existing parent to the other based upon criminal charges existing or existed against the current residential parent. The necessarily complex factors are not amenable to this forum, and you should get a consultation with a family law attorney, which will be worth the cost of a consultation.
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