She bought a new vehicle in Ohio. Was given an Ohio title for it. Their address was in MI, so it was noted as such. That seems completely fine.
Then I assume they are required to go home and get it titled in MI...get it inspected, emissions if it exists, ect... Somehow Michigan was like..."ok, we are going to go ahead and register your Ohio titled vehicle...here are your plates."
Seems like Michigan itself messed up?