The Kaurna name for a small tributary creek which runs through Delamere is "Yala-walangga". The meaning is uncertain.

After the first survey land was soon taken up and by the early 1850s settlers were farming the land. They called the place 'Stockyards', but this was changed to 'Glenburn' in the 1860s. This name caused confusion with Glenburnie in the South East, and so the name was changed again around 1875, when it became known as 'Delamere'. In 1856 the District Council of Rapid Bay was formed and a Council Chamber built at Bullaparinga in 1878. Churches were built and a school established. In the 1870s, however, there was a period of decline. Talisker mine ceased operating in 1871. The wheat crops were failing. People gradually moved a

way to find a better living. The farmers that remained turned to sheep farming. The Delamere General Store continues to serve the local farmers and the growing number of owners of small properties, seeking a change of life-style.