Welcome to the site. Different expert here, with a different take on your income tax collection question.
There are a number of steps available to you, but the first is a thorough review of the tax involved, the tax year, and the supporting facts that created the tax liability.
Ohio state taxes can have as short as a seven year statute of limitations on collection, and the reason for the tax debt sets the collection statute. for example, if you were audited by IRS for a prior year, and owed additional tax, it's likely you owed additional Ohio tax as well. That collection statute will be different if you just filed, say, your 2005 Ohio return, and didn't pay the tax with the return.
If you could provide some more specifics, I will be glad to try and pinpoint how to make the determination. Additionally, Ohio is limited in how they can collect state taxes. Since you don't have assets to attach (they love real estate liens) a negotiated settlement (an Offer in Compromise) might have been an option. The problem in Ohio is you must first pay the tax to request a settlement, and what's the point with most of what you owe being taxes?
If you continue to work and reside in the state, in some cases all Ohio can do is pursue tax refunds. If you manage your withholdings
so that there are no Ohio or IRS refunds coming, you can in some cases not pay, and wait out the time until their tax debt expires, legally uncollectible.
If you do have a follow up question, please specify which Expert you wish assistance from. I'm PDtax.