Ohio Rev. Code § 5731.34
No estate or additional tax shall be imposed upon any transfer of intangible personal property by or from a person who was not legally domiciled in this state at the time of his death, or by reason of the death of such a person, whether such person was the legal or the beneficial owner of such property, and whether or not such property was held for him in this state or elsewhere by another, in trust or otherwise, unless such property was employed by such nonresident in carrying on business within this state. No estate or additional tax shall be imposed upon the transfer of intangible personal property in any case if the laws of the state, territory, or country of domicile of the transferor at the time of his death contained a reciprocal exemption provision under which nonresidents were exempted from transfer or death taxes of every character on personal property, except tangible personal property having an actual situs therein, if the state, territory, or country of domicile of such nonresident allowed a similar exemption to residents of the state, territory, or country of domicile of such transferor.
R.C. §5731.34