I live up't north and am surrounded by beautiful country like this.
It could be the River Lune valley, this river runs through my home city and on into the hills. There is also an area called the Forest of Bowland, sometimes known as the Trough of Bowland, where the Duke of Westminster has his country estate. The river meanders through hills like this and has little stone bridges but I can't find this one, yet. The nearby Lake District is full of rivers, hills and stone bridges and then there are the Yorkshire Dales as Barbara has mentioned.
It looks like a packhorse bridge and as if it could be my area, but I can't pin it down at the moment.
Pat