Born on August 10th, 1844, the eldest son of William Joseph Square (qv), and was educated at the Baptist College, Regent's Park, London, NW. He entered Rugby, when Dr Temple was head master, in 1859, and left in 1861. He studied with his father at the South Devon and East Cornwall Hospital, and at St Bartholomew's Hospital, where he took several prizes and was Senior Scholar in 1866. He acted as House Surgeon and Clinical Assistant at the Royal London Ophthalmic Hospital. He returned to Plymouth, succeeded his father as Surgeon to the South Devon and East Cornwall Hospital, specialized in ophthalmic surgery as Surgeon to the Royal Eye Infirmary, Plymouth, and was Surgeon to the Provident Dispensary and to the Plymouth Fire Brigade. In 1895 he was President of the Plymouth Medical Society, founded in 1794. Square travelled a great deal, and was early elected a Fellow of the Geographical Society on the nomination of Sir Leopold McClintock and General O'Connor, visiting the Pyramids not long before his death. He was a charming companion, a versatile conversationalist, an excellent raconteur without malice, an ardent sportsman, an angler, a good swimmer - claiming to have taken part in the first swimming match at Plymouth - and a cyclist. At one time he sat on the Town and County Councils. He practised in Portland Square, Plymouth, and died of pneumonia, after a short illness, on April 15th, 1896.