Gooderham rhymes with:
cockerham, wickerham, abraham, allingham, beckham, bellingham, billingham, birmingham, blakenham, buckingham, burlingham, burningham, callaham, cockerham, cottingham, cunningham, dagenham, dillingham, everingham, fillingham, framingham, frothingham, gillingham, ingraham, kingham, landingham, laningham, leadingham, newingham, nottingham, rockingham, stringham, vallandingham, vanlandingham, vanlaningham, whittingham, wickerham, willingham, winningham
Gooderham sounds like:
gastronomy, goodrum, guadarrama, guderian, guterman, gutterman