Map of Democratic and Republican primaries results (unofficial):
The Dem map makes sense, Cordray did best in Central and western Ohio, where there is a low amount of Trumpiness, meanwhile Schiavoni/Kucinich were strongest in the industrial/Ohio River areas.
I have no idea how to interpret the Rep gubernatorial primary map. The assortment of counties won by Taylor have no obvious connection. The only thing I can think of is that DeWine has been in office for enough years that those counties are places with some miscellaneous grievance with something he or his office has done.