Home Depot is just one of probably hundreds of stone, marble, and ceramic tile
outlets near Cleveland.

Do a Google.com search using Cleveland + _________ tiles ...
fill in what you want - Stone, Marble, Ceramic, Wood ...

You'll get more hits than you'll care to read!
Try some of the larger Carpet or Flooring outlets - ones that do Installations ...
They will have 'back rooms' FILLED with broken or cut pieces, broken lots,
off-color rejects, and lots of left-overs from past jobs. They usually sell the
'back room' stuff for pennies on the dollar.

Happie Hunting!