Ohio can prosecute for assault and battery, plus kidnapping.
The United States can prosecute for kidnapping and murder resulting from that kidnapping.
Indiana can prosecute for murder and abuse of a corpse.
See my previous comment from Post #16. There is no damn good reason for the U.S. to prosecute anyone in this case. The kidnapping took place in Ohio. The murder took place in Indiana. Prosecuting those two crimes should be sufficient to render justice in this case.
Aside from the constitutional issues, you run into a practical problem in having multiple prosecutions for the same alleged crime. In the example you cited, there is a distinct possibility that someone is prosecuted in Federal court in a kidnapping-murder case where the defendant has been acquitted of kidnapping in Ohio and acquitted of murder in Indiana. That itself is bad enough, but this chain of events also introduces the possibility that the Feds will prosecute a kidnap-murder case where another culprit who has no connection to the Federal defendant is later convicted of the crime in Ohio and/or Indiana.
This is the kind of crap that leads to a total loss of respect for the law.
The example crime involve crossing a state line in commission of a crime. The created a federal interest.