He commenced making pencil drawings of the interior of Westminster Abbey and other Gothic buildings as early as the age of fifteen; these he sold to dealers, and other casual customers, at low prices.
In 1829, he began the engravings of 'Ancient Cathedrals, Hôtels de Ville, and other public buildings in France, Holland, Germany, and Italy'; which were drawn from life by himself.
In 1831 Coney began a similar series of the Architectural Beauties of Continental Europe, for which Hannibal Evans Lloyd wrote the descriptions.
This work consists of 28 large plates of remarkable edifices in France, the Low Countries, Germany, and Italy, and 56 vignettes, all drawn and etched by himself.
In addition to these undertakings, he executed numerous drawings in pencil, and also in colours, for private commissions; and necessity often compelled him to part with many to picture-dealers and print-sellers.