1) A regional form of ‘leighton’, which meant herb garden originally and then vegetable garden.
It was quite common in minor place-names but apparently remained in use colloquially into the eighteenth century at least: 1308 moildelaghton, Sowerby
1330 ‘a garden called le littilaghton’, Shepley
1583 Mudlaghtonsteede, Almondbury
1617 one little close of meadow in Dwarriden called Laughton Croft otherwise garden Croft, Sheffield
1775 Laighton, a Garden, Halifax.