Extract from Discovering Old Huddersfield (1993-2002) by Gordon & Enid Minter:
Three tenths of a mile after the road swings to the right to become Ashes Lane look on the right for a house called Catterstones. This a name of some antiquity as the land around here is marked as Catterston Banck on the 1634 map of Almondbury. But Dr. Redmonds in his "Almondbury Places and Place names" says that the name may be much older. He suggests that the "carter" element was the original Celtic name for Castle Hill with a meaning simply of "the hill" or "hill fort". If this is so, then Catterstones is one of the oldest surviving place names in the area.