[I say "probably" because street numbers may have changed. However, it dos look right - and the aerial view shows recent building behind the main house(s) where the playground would have been (see below).]
[Notice the recent building behind the main house(s) where the playground would have been. Also, how close the school was to Edwin Rayner Ransome's house, 22 North Side. In the run up to the 1871 Act both Dr [Revd doctor?] Conder and ERR were active in the defence of WC.]
I came across this story completely by chance. I had been exploring the life and times of the natural history artist Edwin Wilson, who had grown up in "The Beeches" on Trinity Road. I discovered that he (probably) and certain of his brothers (definitely) had been educated at Halbrake School, Park Road (now Elsynge Road).
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Philip Boys (aka "HistoryBoys")