Then you must petition the court to not allow her to move. I might also suggest that you get formal visitation and support in order. It benefits all parties involved.
Just one other thing. Support is not a ticket to see your child, you know that right?
Actually, it's POSSIBLE that you'd need to petition the court for formal visitation/custody and support AND THEN (or as a part of that) attempt to prevent her relocation.
Also, you must consider that the only way the court will tell her she can't relocate is if you are a viable choice as primary custodian. Because the way it generally works is "Mom can move. It's her right to move about freely and the court will not interfere with that. However, the state has been asked to intervene in the CHILD'S life, and we CAN restrict THAT. So, MOM can move. The CHILD cannot. IF MOM chooses to move, the CHILD stays with DAD."
The court will NOT refuse Mom's relocation and make HER stay in MI.
So, how viable are you as a primary custodian?
How many overnights, on average do you have with the child?
Do you have daycare available?
Do you work a schedule that reasonably allows you to care for a child of this age?
Do you have adequate resources to care for the child even if Mom never pays a single dime of child support?
Do you think it's in the child's best interests to live with you and have the other parent visit only occasionally?