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In 1859 older children from the hamlet of Clack attended the school at Lyneham, while the younger children were taught by a young woman in a cottage. A few children went to a school at Christian Malford.
Then in 1860 a National School was built in the hamlet and in 1875 some of the income from the Broome charity was allotted to the school. This particular school stood opposite the church of St Mary. However, school charity funds were only applied to Bradenstoke once in 1889. In 1899 it was decided that when the cost of building Lyneham School had been discharged, ¾ of the income of the Broome charity was to apply to Lyneham while the last ¼ was to be known as Broome's Bradenstoke charity.
In 1902 there was an average of 69 boys and girls being taught by a headteacher and an assistant in the school's two rooms. In 1905 it was noted that the Broome's Bradenstoke charity had been used for school prizes for two or three years, but in this particular year was used instead to maintain an evening school in the buildings at the National School. The school known as Bradenstoke C.E. Controlled Primary School was closed in July 1966 and its pupils attended the Lyneham schools.