2) A rill or small stream, flowing water.
1584 the[y] came nere a little becke or pirle of water called Slabecke where the same faleth into the sea, Falsgrave. It occurs as a specific element in a number of place-names: 1246-55 Pirlewelle, Batley
1331 Pirlwelle, Kirkheaton. Smith suggested ‘bubbling spring’ as the meaning here.