The Quakers had a Meeting House in Penketh/Great Sankey quite early. In my one name study I've found a marriage there from 1667, well before such things were legal. The existing building, on Meeting Lane, is much later.
The buildings in the pictures were at the corner of Tannery Lane and Station Road, and are shown on maps as Penketh Lodge. It was demolished about 1970, and the site, along with the adjacent public recreation ground, is now covered with houses.
There are other pictures of the school on Flickr, put there by Warrington Libraries. There are quite a few photos of Penketh besides.
The maps show how usage affects names.
Station Road was originally Ferry Lane. It led to Fiddler's Ferry, which then acquired a railway station.
Tannery Lane was originally Brewery Lane, but the brewery buildings got a fresh use. Their later use as a ceramic tile works goes unrecorded!