Moulton was the Eryholme-Richmond branch line which was opened in 1846 by the York and Newcastle Railway Company.

Moulton station house still survives, it is now used as a residential property, but the platform clock can still be seen on the wall.

The Richmond bound platform now forms part of the boundary wall to station house.

The Darlington-bound platform still stands intact, though it is heavily overgrown with trees, bushes and bramble thickets.

The track bed is now used as an access road for a nearby smallholding, it is not officially recognised as a public right-of-way, though it has been used as a scenic footpath by local people for over 20 years.