TurboTax does have local filing forms for Ohio. While preparing your state return there will be an opportunity to add your local return for both school district and your municipality. Click the images attached to enlarge and view for assistance.
The link to complete these forms on the Ohio site is here as well. OH Municipal Tax Forms
There are 2 state wide agencies that help Ohio Cities collect City Income taxes. One is CCA (Central Collection Agency) and the other, larger one, is RITA (Regional Income Tax Agency). There is a pull down list of cities, in Turbo Tax(TT), for both City Tax Forms (CCA) & RITA. But many Ohio cities use neither agency. These cities design their own forms and require you to use them. You can get paper copies from the individual city. Most are available at the city’s web site. Many cities will prepare the tax return for you, but you have to go to city hall in person. Some may have on line filing (try the city web site). Although they won't usually admit it, some will even accept CCA forms. So you could try filling out a CCA form on TurboTax and mailing it to your city; but I actually find it easier to fill out a city return by hand or at the city, CCA or RITA web site, than to use TT. Things don't happen automatically and you need to know what you’re doing. The actual RITA/city forms are easier to follow than the TT interview.
For a list of all Ohio cities with an income tax go to http://www.tax.ohio.gov/municipalities/municipal_income_tax_forms.aspx You can click on the link for your village and be taken to their web site.