Good morning and welcome to Just Answer. Unfortunately, your daughter does not have the right to file for a change of custody. However, should you file for a change of custody in Michigan, the court uses the "best interest of the child" standard to determine whether custody should be changed.
Your daughter will be able to state her wishes as she is of sufficient age to make her wishes known. However, she (and you) will need to have clearly stated reasons for the move, such as better schools, etc. In addition, the court will need to first determine whether there has been a sufficient change in circumstances to warrant a change in custody from the original determination.
You may ask what constitutes a change in circumstances, you should read this webpage for some ideas. http://www.michiganlegalaid.org/library_client/resource.2005-05-29.1117417920074/
The Friend of the Court can provide you with necessary forms.
Please let me know if I can provide you with any other information or clarify anything for you.
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