Something to pair up with the campaign songs from Henry Clay's 1844 presidential bid on the Whig Party ticket -- the famous, or infamous, "Tippecanoe and Tyler Too" from President William Henry Harrison's successful "log cabin and hard cider" campaign in 1840.
An old-fashioned folk-singerly group's version, which I can't identify but surely is suitable for classroom use, uploaded by YouTube user KokoskaTeacher:
And a rather odd version by alternative rock group They Might Be Giants. There are several on YouTube, but this one has period graphics for the video:
Sheet music, apparently from a contemporary book, is also available on the Internet.