You mention you get taxed by local county and city. Which state?
If KY, then IN and KY have a reciprocity agreement for the state taxes, but it does not include any lower taxes. Therefore you would include the KY city and county taxes for credit on your IN return. Here is a link with information from IN.
If you mean IN, then no. These are IN taxes.
edited 12:05 pm EDT 3/22/2020
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