North Carolina and Ohio both take part in the Drivers License Compact (DLC) which requires member states to report back to the state in which a person is licensed moving violations which the person was convicted. So the Ohio traffic court should inform the NC Department of Transportation (DOT) of the speeding ticket if you pay the fine and thus are convicted of the offense.
Once the NC DOT turns this information over to their Division of Motor Vehicles, which keeps drivers' records, it should be placed on your driving record according to the Driver Handbook which notes that out-of-state convictions are listed on your driving record. Points however are not typically put on your NC driving record for out of state minor moving violation convictions.
So while Ohio may start their own record for you up there and assess you points for the speeding offense, these OH DMV points would not transfer to North Carolina and NC does not normally assign points for out of state traffic tickets.
Even though points will not be assigned, once the OH citation makes it onto your North Carolina driving record, than your insurance company may see it the next time they pull your MVR (motor vehicle record). At that point, depending upon your insurance provider's rating system; it could affect your insurance premiums.
If your rates do go up on your NC insurance coverage than click here so we can help you find the cheapest car insurance premiums possible.