George Bruce Malleson, in his "History of the French in India", thought Orme's history generally accurate, though failing to treat the French as principals in the story. Orme told Samuel Parr that in preparing the third volume he completely formed every sentence in his mind before writing it down. A third edition of the work appeared in 1780, a fourth in 1790, a fifth in 1799. There were other editions in 1803 and 1861 in London, and Madras. In 1782 Orme published "Historical Fragments of the Mogul Empire, of the Morattoes, and of the English Concerns in Indostan from the year 1659". This was reprinted in 1805 (London), with a memoir of the author, giving some extracts from his correspondence with William Robertson the historian, and others (cf. Edin. Rev. January 1807, p. 391 seq.). Orme's essays ‘On the Origin of the English Establishment … at Broach and Surat’ and ‘A General Idea of the Government and People of Indostan’ were included in this volume.