Both photos (above, 1972 - LRO) and right (August 2006, just after the West Ham game) are of the building which houses the infants’ department (built 1961), and is right next to the church. The juniors’ building is located in the Townsend Lane site, which was at one time I think a secondary school.
Jan tells me that local children used to believe that the hands from the statue went crawling around the neighbourhood at night...it's one way of getting the children in on long summer nights! This is only a stone’s throw from Anfield Primary, with its haunted bell tower! Spooky kind of place, altogether!