Every nonresident having Ohio-sourced income must file OH return.
However, You do not have to file an Ohio income tax return if ...
Please note: If your federal adjusted gross income is greater than $27,400, the Department of Taxation recommends that you file an Ohio IT 1040 or IT 10, even if you do not owe any tax, to avoid delinquency billings.
For more information please check OH Department of Taxation.
What about if I received a K-1 from an LLC for the property as a partner investment? So the property is under an LLC and each investor receive a K-1 for their partial investment.
If you received a K-1 form the income would still be sourced in Ohio, so the filing requirements mentioned by @MayaD would apply.