The Dilston Shuttle runs from Dilston bridge to Hexham (or Corbridge) then to Corbridge (or Hexham) then to Dilston bridge.

In other words it does a round trip through Corbridge and Hexham to either side of Dilston bridge - and it's all free!

So you can travel (hourly) between Hexham and Corbridge (and vice versa) for nowt!