Career
Horne was born in Lethendy, Perthshire, Scotland. He worked at Kew in 1859–1860 and at the Botanic Gardens Mauritius 1861–1891 (Director from 1877). He collected plants in Mauritius and the Seychelles.
In 1876, he spent a year collecting plants in Fiji.
Horne died in Jersey in the Channel Islands.