Eir rhymes with:
admire, afire, alkire, aspire, barbed-wire, beijer, dire, dwire, expire, frymire, gire, guire, gyr, hyre, inquire, inspire, ire, lyre, maguire, martyre, mcguire, mcgwire, mcquire, mire, myre, o'dwyer, perspire, quire, reacquire, rehire, retire, safire, schreyer, scire, shire, skier, smyre, spire, squire, striar, swire, tyre, wyre
Eir sounds like:
ear, eary, eerie, er, era, ere, erie, ero, eroh, err, erra, erria, error, erway, eure, euro, eury, ewer, eyer, eyewear, eyre, eyrie