Rodham rhymes with:
adam, addendum, afrikanerdom, boredom, cadam, carborundum, chiefdom, christendom, condom, corundum, dedham, dukedom, earldom, edam, fiefdom, fordham, freedom, gaddum, hildum, kingdom, leedom, macadam, madam, madame, martyrdom, mcadam, memorandum, modem, needham, nydam, odom, odum, officialdom, oldham, purdham, purdom, purdum, random, referendum, saddam, sandom, sedam, sedum, seldom, sheikdom, sodom, stardom, subkingdom, suydam, tandem, windham, windom, wisdom, wyndham
Rodham sounds like:
raden, radiation, radin, radioman, radium, radman, radney, radon, radwan, rardon, raritan, rathman, rathmann, ratieni, ration, raton, rattan, rawdon, raytheon, rearden, reardon, redden, reddin, redeem, redman, redmann, redmon, redone, redwine, reitan, reitano, reiten, reitman, retain, retana, retin, retina, retinue, retton, rewritten, rhoden, rhodium, rhoten, rhoton, rhythm, ridden, riden, rietman, riordan, rittman, rodden, roden, rodime, rodin, rodine, rodino, rodman, rodney, rohatyn, rotan, rotation, roten, rothman, rotman, rotten, rottman, rottmann, rotunno, routine, routon, rowden, rowton, royden, roydon, rudani, rudden, rudeen, ruden, rudin, rudman, ruritania, rutan, ruthann, rutman, ruttan, rutten, ryden, rydman, ryton