A certainly hazier answer than one may at first think. There are registered "mountains" in Mississipi (I forget the names...) that are less than 900 ft...and Charles MOund is at 1,235 feet, with many other hills in the general Driftless area of similar height. I would think some categorizations of "mounains" and "hills" must take other aspects in mind...
By most definitions, Charles Mound is categorized simply as a "high hill". What is stopping it by being considered a genuine mountain by most? Not sure.
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The tallest Mountain in Illiniois is not a Mountain, it does not even qualify as a hill or prominence. it might even be called something short of a mound. Wheat fields in Colorado are at three times the altitude and elevation. The tallest 'mountain' in Illinois is Charles Mound at 374 m or 1,227 ft. Latitude/Longitude 42.504 / -90.24
A mountain is a large landform that is at least 2,000 feet. A mountain is steep and jagged. A hill is a small mound that rises above some land.