Complex sentence: Her family were also neighbours of the family of Jack Kane, the first Labour Lord Provost of Edinburgh, The CFS started in 1962, after she asked the headmaster of the local primary school if her son could be taught to play the violin.
Split into simpler sentences: Her family were also neighbours of the family of Jack Kane, the first Labour Lord Provost of Edinburgh. The Craigmillar Festival Society started in 1962, after she asked the headmaster of the local primary school if her son could be taught to play the violin.