They 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[1] to produce and publish an updated map: North America in 1821.

[2] Their contributions to Canadian cartography led to Mount Arrowsmith, situated east of Port Alberni on Vancouver Island, British Columbia, being named for them.

[4][5] Aaron Jr and Samuel did not have the skills of their father and cousin and their contributions to cartography were minimal.

[6] Aaron Jr. left the family firm in 1832, and upon the death of Samuel in 1839, John purchased the assets and merged them into his own business.

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.