Since you maintained a PA residence, indicate (in the personal info section) that you lived in PA all year. Your time in OH was only temporary, the same as if you attended school there.
In the personal info section, when it asks if you made money in another state, answer NO, per the reciprocal state instructions, on that page. This will prevent TurboTax from thinking you need to file an OH return.
____________________________________________________________________________
Ohio has a reciprocal agreement, on wages, with all neighboring states. No Ohio state taxes are withheld or due and you do not need to file an OH return. But your home state will tax you on your Ohio income.
If Ohio taxes are mistakenly withheld, you have to file an Ohio return to get a refund.
However the reciprocity agreement 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. You can use the city taxes paid in OH to offset the local municipal taxes that will be due on your local PA return, if you are subject to one.
