On 20 March 1836, Morphett sailed for South Australia in the
Cygnet, which arrived at
Kangaroo Island on 11 September 1836. On 5 November 1836, the
Cygnet arrived at
Holdfast Bay. Next day, with Lieutenant Field and
George Strickland Kingston, he explored the
River Torrens. With others on the
Cygnet, he also identified the mouth of the
Port River, identified the suitability of
Port Adelaide, and visited
Port Lincoln with Light. At the crucial meeting on 10 February 1837, he played a decisive role in confirming the choice of Adelaide for a settlement. On 15 August 1838 he married Elizabeth Hurtle Fisher, the eldest daughter of
James Hurtle Fisher (later Sir James), whom he had first met at the meetings of the South Australian Literary Association in London. They were married at
Trinity Church, South Australia's first Anglican Church. As a land agent for the
South Australian Company, he secured valuable land for his family and clients; he was energetic, enthusiastic sensible and lucky, and profited greatly from a multitude of land transactions. A Secondary Towns Association was formed in England in 1838, and Morphett became the local Colonial Representative for that Association. In this capacity he often engaged the services of
John Hill in exploring for survey sites, while also exploring himself. In May 1839 he paid £4,000 for a
Special Survey of of land along the Hutt River, and in November 1939 he bought 8,000 acres on the
River Murray which became the Wood's Point Estate. During November 1841, as one of the trustees for Lt. Col. George Gawler, Morphett selected land in sections 1553 and 1554 to the south of the Barossa South Survey. In December 1839, Morphett was elected Director of the South Australian Railway Company. In 1842, he became one of four members appointed by the Crown to assist the Governor, and was also elected Chairman of the Chamber of Commerce. Morphett was one of the originators of the
Agricultural and Horticultural Society, presiding over the introductory meeting on 24 April 1844. In April 1846, he became a member of the Committee of management of the English Railway Company which proposed to lay a railway along Port Road. He was a director of the Adelaide Mining Company, and also a director of the
South Australian Mining Association which owned the Burra mine. When the Adelaide Cricket Club was formed in 1853, Morphett became its vice-president and his father-in-law, J.H. Fisher, its president. ==Political life==