The millstones were quarried and shaped high above the valleys, along the grit-stone edges, and roads were made so that they might be more easily transported (HPP100-5). The occupational term occurs only occasionally.
This may be the dialect word ‘moise’ which means to improve, although evidence for its use in Yorkshire is otherwise lacking. Alternatively perhaps it was for ‘moite’; that is ‘burl’ or pick out the foreign matter.
The word ‘brest’ could mean ‘damaged’ so perhaps this was a reference to ‘mould’, that is good land, which was deemed to be ‘spoilt’ because it lay uncultivated.
Setting fire to sections of moorland has long been a practice in the north, burning off the ling early in the year in order to promote new growth which would be suitable for pasturage. It was an offence though between 11 April and 1 November.
Could mean a 'gate' controlling access to land under cultivation and the moor beyond; or, the road to the moor from the village; or a right to pasturage.