Based1841: William H. Harrison (Whig)
(with John Tyler)
def. 1840 Martin Van Buren (Democratic)
1841-1842: John Tyler (Whig then Independent) [Vice President Acting President]
1842-1843: Samuel Southard (Whig) [President Pro Tempore Acting President]
1847-1851: Joseph Smith (Independent)
def. 1846 Lewis Cass (Democratic), Henry Clay (Whig), Martin Van Buren (Peace Democratic), John Tyler (New Democratic-Republican), James G. Birney (Liberty)
I think you've got to go for the 1920 Election tbh.