The Nunthorpe–Battersby Link was a short line connecting the Middlesbrough and Guisborough Railway and the now disused Picton-Battersby Line.
The line, which was opened in April 1868, ran from Nunthorpe Junction to Battersby. It remains in use today as part of the Esk Valley Line.
References
Nunthorpe–Battersby Link Wikipedia(Text) CC BY-SA