In reply to Dai Horribly:
Head to the mine then go straight up the hillside, there is a path to follow. It's not great, quite steep, there's a section through some loose mine tailings higher up and it peters out near to the top. The top half of the path is shown on OS maps starting at the 310m contour and running parallel to a gill to just below Birk Fell Hawse. The bottom half is there though, you can see it on satellite view on Google maps. The tracks further west that zig zag are visible in satellite view too, but I haven't used these (not that I can remember anyway) so can't comment on the condition.