from The Century Dictionary.
- noun A flight of steps; a stairway.
Sorry, no etymologies found.
The accident was a calamity, because Skag's was already worn out cutting step-way to climb out of khuds, and this was all they had left to serve such a purpose.
Son of Power Zamin Ki Dost 1905
But all at once I dodge in among the stones and begin to climb up to the terraces, get up to the top step-way in the square pit, and loosen out the stones there, after blocking the place below.
The Peril Finders George Manville Fenn 1870