Rightmire rhymes with:
suttmeier, tietmeyer, whitmire, biedermeier, dannemeyer, fesmire, foxmeyer, hehmeyer, jurgensmeyer, kastenmeier, obermaier, ohlmeyer, proxmire, pugmire, racamier, retemeyer, rothmeier, settlemire, settlemyre, stegemeier, stiegemeier, stoudemire, stoudenmire, suttmeier, tietmeyer, untermeyer, waymire, whitmire