I have just added this to the map of places to fly your drone at Drone Scene:
Land owner permission requirements unknown.
The museum sits on a section of an old rope-haulage railway designed to haul coal up steep inclines from the coal fields, while the flatter rail sections were served by locomotive-worked sections.
The main engines have been out of action for some time so there seems to be little chance of encountering any moving wagons on the line at the time of this posting.
There is a public bridlepath alongside the entrance to the museum car park at W3W: ///puns.palace.home but if the car park is open, so is the museum… If the car park is closed, parking nearby is difficult.
A better option is to park (free of charge) at W3W: ///spends.piano.brain and follow the public footpath opposite. Where the footpath forks, turn left and then right. At the next fork, take the trail to the right which leads to a conveniently elevated TOAL point at W3W: ///deflection.notice.speak.
The originator declared that this location was not inside a Flight Restriction Zone at the time of being flown on 13/06/2023. It remains the responsibility of any pilot to check for any changes before flying at the same location.