probably from the base of G2767 (through the idea of mixing clay and water); earthenware, i.e. a tile (by analogy, a thin roof or awning):--tiling.
clay, potter's earth
anything made of clay, earthen ware
a roofing tile
the roof itself
the phrase "through the roof", means through the door in the roof to which a ladder or stairway led up from the street (according to the Rabbis distinguish two ways of entering a house, "the way through the door" and "the way through the roof"