 The Arrowsmith River in Western Australia was named by Sir George Grey after Arrowsmith, who later produced the maps for the published journals of Grey's two Western Australian expeditions.John and his uncle built on Aaron's "A map exhibiting all the new discoveries in the interior parts of North America" 1811 version which was heavily based on information provided by the Hudson's Bay Company, Indian maps, and British Navy sea charts to produce and publish an updated map