The reciprocity agreement, between MI & OH on state taxes, does not apply to local city taxes. You are not required to file a local city return, but you are also not entitled to a refund of the city withholding (box19 on your W-2), unless there was an error in the amount.
Michigan will give you credit for OH city tax paid, on the state return, but you have to attach a copy of the city return. So, even though the Ohio city does not require you to file a return, you have to file one to get the MI credit, even though there will be no tax due or refunded from the Ohio city.
Rossford is a RITA city, so you file with them. You can file at the RITA web site or get the forms to fill out.
http://www.ritaohio.com/
Theoretically, you can do a RITA form in TurboTax, but you will have to pay for the OH software and it ain't easy, as you have to navigate the OH state software to get to the city software.
