Here's a blast from the past - but don't get too excited, as I haven't solved it.
While looking for something else earlier I came across a site dedicated to Yorkshire waterfalls, and it reminded me of this. I spent a pleasant time going through the A-Z list (
https://yorkshirewaterfalls.blogspot.com/2015/08/a-z-of-waterfalls-in-yorkshire.html), but didn't spot an exact match. The closest I saw was Stainforth Force (and bridge), as Barbara suggested above. And it may be that this isn't really a waterfall so much as a minor change in level, so it might not be on that site anyway. However, it got me wondering...
First, is it possible to tell where the sun might be shining from? (Assuming this is the UK, this might indicate whether the river is flowing to the east or the west.) The trees show that it's summer, so the sun could be quite high; I think it might be somewhere to the left, suggesting it's flowing eastwards, but I'm not certain of this.
Second, can anyone work out the geology of the place? Is it similar to Aysgarth Falls, but on a smaller scale, where there are alternate layers of hard limestone and soft shale, leading to a series of 'steps' in the river bed? (See
https://www.yorkshiredales.org.uk/about/wildlife/places-to-see-wildlife/aysgarth-falls/) Or is the ledge a small man-made weir? (Something else I saw mentioned the Whin Sill of Durham and Northumberland, but as far as I can see, that's tens of meters thick and gives rise to much bigger waterfalls.)
Looking back at this thread it seems it never really got going, so 8 years on, I wonder if there are any fresh insights.