The Collaborative International Dictionary of English v.0.48:

Stairway \Stair"way`\ (-w[=a]`), n.
   A flight of stairs or steps; a staircase. "A rude and narrow
   stairway." --Moore.
   [1913 Webster]

WordNet (r) 3.0 (2006):

stairway
    n 1: a way of access (upward and downward) consisting of a set
         of steps [syn: stairway, staircase]