I would suggest that this name is the Cumbric equivalent of Welsh bcoch/b'red' and Cmb kein 'ridge, back' thus Red Ridge. The name reoccurs near Whinfell, Kendal as Cockin 1857, Cockan 1838, which Smith sees as English cock as in Woodcock ...
also, i think of the time tom and me (twm) had to go to cnwch coch of all places, from london (we were watching the tour de france) and arrived an hour late, with amane playing with a random other band!! the list goes on and on, ...
