Heather rhymes with:
altogether, birdfeather, feather, get-together, grether, leather, merriweather, nether, raether, sether, tether, together, weather, whether
Heather sounds like:
hader, hadria, haider, hater, hatter, hattery, hattori, haueter, hauter, hayter, header, headwater, heater, heathrow, heeter, heider, heidiwear, hider, hither, hitter, hodder, hoddur, hooter, hotter, hotwire, huether, hutter, hyder, hydra, hydro