In 1850, no steamboat could sail directly from New Orleans to Cincinnati because they lie on different river systems:
A vessel would have to travel ~1,500 miles upstream on the Mississippi to Cairo, IL (confluence), then turn east up the Ohio another ~500 miles to Cincinnati—a grueling 3–4 week voyage against strong currents, requiring high-pressure engines and frequent wooding stops.
Regular packet lines (e.g., J.M. White, Natchez series) ran New Orleans–Louisville; Cincinnati packets connected at Louisville or Pittsburgh. Through-tickets existed, but required transfers.