Can you help?
I believe this shows the rebuilding of one of the bridges crossing either the Castle Eden branch or the line to Eaglescliffe to widen Yarm Road in the late 1950s. Or not. (This information was kindly provided by Mark Rowland-Jones) 
Picture Stockton Archive
A Pictorial History of Stockton-on-Tees
This looks like it could be the replacement of a bridge on Yarm Road, the one near to the Eaglescliffe Hotel (recently renamed). The railway passes under Yarm Road at an angle like this. On the left would be some railway cottages and in the distance on the right the black roof of a barn at Manor House Farm.