I think you're right Marianna,I walked towards Holmfirth but the path veered off at a right angle away from the river,and there did look to be some works there,I don't know if I'd have followed the path it would have taken me into Holmfirth,but it certainly wasn't alongside the river,I went back onto the main road and the short walk into Holmfirth,and the next time I could rejoin it was by the Co-op next to those railings where Marina used to meet Howard,and then it continues past Compos magnetism tree into the town,past the Picturedrome and Nora Batty's,from the bridge in the photo you can walk the other way,away from Holmfirth,that stays beside the river and goes through some woodland,but I don't know where you would end up,so I just walked back after a while,Does the footpath along the river continue from the bridge just off the car park by the pool all the way into Holmfirth, or is it necessary to go back out to a road at some point? It looks as though the bit of river beside the foundry, just before Bridge Lane, might be unpleasant.
Btw talking of woodland and river,thats how the town got it's name,
Holme is the ancient meaning for flat lands beside a river (the river is called river Holme)
Firth is the ancient meaning for woodland,
the town was originally built on flat lands beside a river HOLME, beside woodland FIRTH .... HOLME FIRTH.