Ohio claims they are due a president as they haven't had one since Taft. Look at the United States, they have not had one since Lincoln.

Rogers is mocking the parochial logic of “it’s our turn” in presidential politics—here, Ohio’s claim that it deserves a president because it hasn’t had one since William Howard Taft. His punchline reframes the complaint by implying that the nation as a whole has not had a truly presidential president since Abraham Lincoln. The humor depends on deliberate exaggeration and a populist skepticism toward modern political leadership. It also plays on Ohio’s long reputation as a president-producing swing state, suggesting that mere geographic rotation is a poor substitute for statesmanship and national purpose.