We've previously hunted in a county bordering another state, and it begs the question: If you shoot an animal legally and the fatally wounded animal 'hops' over the state line (assuming you know where that is in the woods), do you follow, do you go get a license for the other state, or let it go? What if you don't know where the line is precisely and follow it?
Given that the animal would be "taken" in a different state from where you wounded it, you would need a license to hunt in that state.
What if you don't know where the line is? Then it could suck to be you when you get nabbed for poaching. Ignorance is no excuse. If you already know you are going to be close to the state line when you go hunt, then it is in your best interest to know where you are when you are hunting and it may also be a very good idea to have permits from both states.