^As an alum, can you explain the whole Miami of Ohio business to me? To an outsider, the name makes no sense.
The Miami Indian tribe inhabited the area in SE Ohio and Indiana and illinois long before they moved to other parts of the country like Oklahoma for the Indian Removals, etc. Technically, the name is not "Miami of Ohio" but simply "Miami University." But it's a logical naming tactic taken to make it easier on sportscasters.
The school in Florida is actually named "University of Miami". That city's name is more coincidence than anything else and came well after the original had taken root in Ohio and the Great Lakes region