The Collaborative International Dictionary of English v.0.48:
Story \Sto"ry\, n.; pl. Stories. [OF. estor['e], estor['e]e,
built, erected, p. p. of estorer to build, restore, to store.
See Store, v. t.]
A set of rooms on the same floor or level; a floor, or the
space between two floors. Also, a horizontal division of a
building's exterior considered architecturally, which need
not correspond exactly with the stories within. [Written also
Note: A story comprehends the distance from one floor to
another; as, a story of nine or ten feet elevation. The
spaces between floors are numbered in order, from below
upward; as, the lower, second, or third story; a house
of one story, of two stories, of five stories.
Story post (Arch.), a vertical post used to support a floor
or superincumbent wall.