I had to look up exactly what a Jacksonian button was.
"In the early nineteenth century, political participation rose as states extended voting rights to all adult white men. During the 1820s, the Second Party system formed in the United States, pitting Jacksonian Democrats against Whigs. After the War of 1812, the Federalist Party died out on the national political stage, starting a period of single-party government under the Democratic-Republicans called The Era of Good Feelings. But by the mid-1820s those good feelings had soured. After the contested presidential election of 1824–in which the House of Representatives elected John Quincy Adams even though Andrew Jackson had carried more states–Jackson’s supporters organized a national campaign for the election of 1828. They formed the basis for what soon became known as the Democratic Party.
During Jackson’s presidency, his opponents formed into another new political party, the Whigs. Unlike Democrats, Whigs favored an active national government and promoted the “American System” to benefit American commerce: a national bank, a protective tariff, and internal improvements like canals and railroads. The party brought together merchants, bankers, prosperous farmers (including the wealthiest southern plantation owners), and Protestant reformers. Its members saw themselves as modernizers who believed in the power of government to improve society and morals. These two parties formed the Second Party System in the United States, which lasted from about 1828 to 1854, when the issue of slavery broke apart the Whig Party."