Look down—your jewelry is all wrong! That neck-mess flopping on your chest, clanking with horseshoes and horoscope charms? Too noisy. The armload of bracelets you’re brandishing, Nancy Cunard–style?

For 37 years, Grandmother's Buttons has floated in time, anchored by its 19th- and 20th-century antique button jewelry on the fringes of the digital age. The business has a website, and it's easily ...