Fitton rhymes with:
bitten, bitton, britain, briton, brittain, brittan, britten, britton, ditton, gettin', gritton, kitten, leviton, litten, litton, lytton, mittan, mitten, mitton, overwritten, rewritten, ryton, sittin', sitton, smitten, titone, unwritten, whiton, whitten, whitton, witten, witton, written
Fitton sounds like:
fadden, faden, fadiman, fathom, fatima, fatimah, fatten, fiefdom, fifteen, fithian, foodtown, footman, futon