The Church Vestry agreed to provide accommodation for a Sunday School set up by Hannah More, a local writer and social reformer. There was already a School for the Poor in the Tithe Barn and this may have been adapted for her use, or an alternative building used elsewhere. In 1791 they built Glebe Cottage adjacent to the barn for the school master and mistress of Hannah More’s choosing. Hannah More's Sunday School officially opened in 1792. It co-existed alongside the School for the Poor for many years.

The barn was extended in the 1800s to create the west wing of the school (beyond the grey wooden ceiling boxing). The current Council Offices, originally a classroom extension, were added to the school in about 1907 and the Tasker Room was the kitchen extension built in the 1970s.

The school operated for nearly 200 years as Nailsea Parochial School, Nailsea Secondary School, Hannah More Infant School and an Annexe to Grove Junior School. From 1985-1998 it was the Grove Day Centre.