Final answer:
The state in question with multiple rivers including the Ohio River forming its boundary with Ohio is West Virginia. This region has played a substantial role in historical territorial conflicts and the establishment of state boundaries in the United States.
Step-by-step explanation:
The state that has the Ohio River between it and Ohio, as well as the Guyandotte River, Greenbrier River, Potomac River (whose source is at the Fairfax Stone), Kanawha River, and New River, is West Virginia.
The Ohio River has been a significant geographical and historical boundary throughout American history.
It was a contentious point between the French and the British during the French and Indian War, as well as between the British and the Native Americans during Pontiac's War.
Moreover, the Ohio River Valley played a pivotal role in the expansion of plantation slavery and was an early fault line in America's sectional struggle, with Kentucky and Tennessee emerging as slave states, and Ohio, Indiana, and Illinois as free states.