Hattery rhymes with:
battery, flattery, patrie, slattery, adultery, alimentary, artery, autery, battery, blustery, buttery, celestory, complimentary, contradictory, coterie, daughtery, directory, documentary, eatery, effrontery, factory, flattery, glittery, guattery, history, introductory, jittery, lottery, mastery, mcmurtrie, mystery, notary, olfactory, parliamentary, patrie, peremptory, perfunctory, petery, pottery, premonitory, protohistory, raftery, rectory, refractory, rotary, rudimentary, sedimentary, slattery, splintery, supplementary, testamentary, trajectory, unsatisfactory, upholstery, valedictory, victory, watery
Hattery sounds like:
hader, hadria, haider, hater, hatter, hattori, haueter, hauter, hayter, header, headwater, heater, heather, heathrow, heeter, heider, heidiwear, hider, hither, hitter, hodder, hoddur, hooter, hotter, hotwire, huether, hutter, hyder, hydra, hydro