Yes. All residents of a city with an income tax must file a city return and usually pay that city some tax, even if their work city withheld tax. Grove City has an income tax.
You normally only have to
file a return in the city you live in. It is not necessary to file one in the
city you work in, if different. Your employer will remit withholding to the
city you work in, but you do not file a return unless you're claiming a refund or your employer didn't
withhold enough ( both highly unusual). The city you live in will allow a
credit or partial credit for the withheld tax you paid to the work location
city. You may end up owing
your resident city nothing, but you are still required to file a return.
For a list of all Ohio cities with an income tax go to http://www.tax.ohio.gov/municipalities/municipal_income_tax_forms.aspx
