Despite being only about a quarter of a mile from North Cowton the station was named after the village of Moulton some away. This was to avoid confusion with a now disused station on the East Coast Main Line named Cowton serving the nearby village of East Cowton.
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.