“Take the bostel to the hostel”

It is BOSTAL,not BOSTEL.
The Reverend E. Cobham Brewer listed the word as bostal or borstall, “a narrow roadway up the steep ascent of hills or downs” (from Anglo-Saxon biorh, a hill; stigelë, a rising path). But the editors of the SDNPA’s new Sense of Place tourism promotion toolkit clearly think that it is time to freshen up this fusty old word.