Yes, in a way of speaking, your Florida income is separated from your Ohio return. All of your income is included on your Federal return no matter where you made it. Your Florida income is not taxed in Florida and you should not need to file a return for Florida (no tax and no refund). Ohio, however, has a bit of a complicated way of figuring out tax.
Ohio calculates tax on all of your income. Then, it will calculate how much tax you would have paid in Ohio on the income in Florida, and then issues a credit for that amount. Thus, the "Florida income's Ohio tax" is subtracted from the overall tax, and what is left is the amount of tax you pay to Ohio. Your income from Florida is not taxed in Ohio, but it is used to determine how much tax you will pay in Ohio.
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