Joshua Lynn took a shot a few years ago of describing the pre-Civil War evolution of “Jacksonian democracy” and the changing view of "Jacksonian democracy" during the last couple of decades. Early decades of the Democratic Party Thomas Jefferson and Andrew Jackson were traditionally considered the founders of the Democratic Party, and rightly so. Jefferson actually did found the party, which was (ironically in retrospect) originally called the Republican Party. Their Federalist opponents in the 1790s called the "democratic" Party as a polemic by which they meant to associate them with the upheavals of the French Revolution. Jefferson's party was adroit enough to recognized that the "democratic" label was a helpful one, so they formally changed the party's name to the Democratic-Republican Party.
"After 1924, the party developed a “National Republican” faction, led by John Quincy Adams." I think you mean 1824.