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I would recommend you delete this W-2 and re-enter it. If you're using TurboTax Online, clear your Cache and Cookies after deleting, before re-entering.
Actually, it's a common situation where Box 1 total wages are earned in multiple states. If the W-2 breaks out the Income/Tax Paid correctly, then there's no problem just entering what is on the W-2 as issued.
In your case, if you have wages in Box 16 for South Carolina, and a second line of Box 16 reports wages in Ohio, the two wages should total Box 1.
Box 15 should have the state, Box 16 State Wages, Box 17 State Tax. Use the 'Add State' link to add as many states as you need to. Remember that all your income is reported to your Resident State of SC, and you get a credit for tax paid to another state. TurboTax does the calculations for you. Prepare your Non-Resident return first.
Here's more info on How to File a Non-Resident State Return
