Yes, we're definitely talking about the same school. It had a hall in the middle, with eight classrooms I think. The grass at the front was used for sports day mostly, as we used to play on a concreted area which went round the whole school. Sometimes for special events we went over to the park, which was opposite the school, at the corner of Addison Road and Lawford Road. If you search for it on the National Archives website, using Bilton County Infant School, you will find some records, and the records I looked at were at Warwickshire CRO (use their Warwickshire Past Unlocked website and you will see what records they have).