Rich played football for Marlborough College and RMA, Woolwich before joining the Royal Engineers. He generally played as a forward and was "ranked as one of the bestfootball players of his day" who "strove hard to pass the backs". In November 1871, the Royal Engineers were among fifteen teams who entered the inaugural FA Cup competition; after victories over Hitchin, Hampstead Heathens and Crystal Palace, the Engineers met Wanderers, the top amateur club of the day, in the first FA Cup Final, played at Kennington Oval on 16 March 1872, which the Engineers lost 1–0, to a goal from Morton Betts. As well as being a footballer, Rich was an athlete who was reputed to be "one of the fastest runners on the athletic track" during his cadetship and later became one of the best horse riders in the Royal Engineers.
Military career
Rich graduated from RMA Woolwich and joined the Royal Engineers as a Lieutenant on 8 January 1870. Fellow graduates on the same day were two of his fellow FA Cup finalists, Hugh Mitchell and Edmund Creswell. Rich was promoted to Captain twelve years later. He was based at Chatham until July 1872, before spending eight months at Aldershot. In April 1873, he was posted to Hong Kong until December 1875 when he was sent to Perak as part of a force sent to end local resistance following the murder of the British administrator James W.W. Birch in November 1875. He was mentioned in dispatches by Col. J. Y. Moggridge and awarded the Indian Medal with clasp for the Perak Expedition. Rich returned to Hong Kong in March 1876 and then back to Aldershot in August. In April 1879, he was posted to South Africa where he served in the Zulu War with the Telegraph Troop in charge of the signallers with the First Division, for which he received the South Africa Medal with 1879 clasp. In January 1880, he returned to England, serving at Chatham, Curragh and at Colchester. He returned to active service when he was sent to Egypt in September 1882 as part of the Egyptian Expedition to put down a nationalist uprising against the KhediveTewfik Pasha, where he was employed with the "A" troop under Sir Garnet Wolseley. Rich was awarded the Egypt Medal with a bronze star given by the Khedive. In October 1882, he returned to Aldershot before being posted to India in September 1883.
Marriage
Rich married Ada Melvill Simons at Sydenham Hill, London on 3 May 1881. The couple had no children. Following Rich's death, his widow remarried, to Major Francis Slater Picot, of the Wiltshire Regiment. Their son, Capt. Philip Simons Picot served with the Sherwood Foresters and was killed at Gallipoli on 11 July 1915.
Death
Rich was killed at Rawalpindi on 17 November 1884, aged 35, as the result of an accident while playing polo. He and another officer collided violently and Rich was flung to the ground, suffering a fractured skull.