Broaghnabinnia can be climbed from the west in the Bridia valley. There is a limited amount of parking for example around V7840 8156 N. The attraction of this route is the long rocky nose shown in the photo. This is around 1000m long and climbs around 525m (gradient 50%+ !) which I can attest is hard work, but then reaching the top by any route from north or east is also very steep.
Few guidebooks describe this route. I did find this in Claude Wall's Mountaineering in Ireland: "The northern outpost [of what he calls the 'Breadagh district'], Broaghnabinnia, a cone of steep grey rock, is a stiff climb, but is more remarkable for the great rough image of a human face weathered on its western flank, which changes expression according to the viewpoint."
Can't say I see it in this picture, but looking imaginatively at an earlier photo (from Eric), perhaps. Members (sober) are invited to Spot the Face. Linkback: https://mountainviews.ie/summit/80/comment/6479/