Here are a few places to check:
In My Info, make sure you answer that you were "full year" residents of Georgia for both you and your spouse.
In Wages, and the other sources of your Ohio income, make sure tax was withheld.
Complete the Ohio state return before the Georgia return. Make sure it is a Non-Resident tax return.
Review your Georgia return to see if credits for taxes paid to OH have been included.
For more information about Ohio non-resident tax returns, follow this link: Ohio Non-Resident Tax Return