Is my wife able to take our daughter and leave the state with out my permission?

Is my wife able to take our daughter and leave the state with out my permission?

No, she can't take your child and leave the state if you have a signed court order that you are both to share custody.

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What is the current status of the relationship? Has there been a divorce and custody decided by a court? Are you just starting a divorce?
If your still married and no such papers exist them she can take the child where she likes until such a time as the courts say different.