He was elected a Fellow of the Royal Society in 1892.[4] The citation on his candidacy form read: "District Surveyor of the Geological Survey of Scotland. Past President of the Physical Society of Edinburgh. Recipient of the Wollaston Donation Fund of the Geological Society in 1887. For thirty years actively engaged on the Geological survey, during which time he has mapped many of the most complicated districts of Scotland. Has charge of the surveying of the NW Highlands, and has taken the leading part in unravelling the remarkable structural complications of that region. Author of various papers on palaeontological subjects: – 'On some New Crustaceans from the Lower Carboniferous Rocks of Eskale and Liddesdale' (Trans Roy Soc Edin, vol xxx, p. 73); 'On some new species of Fossil Scorpions from the Carboniferous Rocks of Scotland' (ibid, p 399); 'Further Researches among the Crustacea and Arachnida of the Carboniferous Rocks of the Scottish Border' (ibid, p 511); 'On some Fossil Myriapods from the Lower Old Red Sandstone of Forfarshire (Proc Roy Phys Soc Edin, vol vii, p 179). Joint author with Mr J Horne of many papers on stratigraphical and physical geology, including : – 'The Glaciation of the Shetland Isles' (Quart Journ Geol Soc, vol xxxv, p 778); 'The Glaciation of the Orkney Islands' (ibid, vol xxxvi, p 648); 'The Old Red Sandstone of Shetland' (Proc Roy Phys Soc Edin, vol v, p 30); 'The Glaciation of Caithness (ibid, vol vi, p 316); 'Report on the Geology of the North-West of Sutherland' (Nature, vol xxxi, p 31); 'The Old Red Sandstone Volcanic Rocks of Shetland' (Trans Roy Soc Edin, vol xxxii, p 539); 'Report on the Recent Work of the Geological Survey in the North-West Highlands of Scotland, based on the Field Maps of B N Peach, J Horne, W Gunn, C T Clough, L Hinxman, and H M Cadell' (Quart Journ Geol Soc, vol xliv, p. 378). "
A monument to the work of Peach and Horne was erected at Inchnadamph, close to the Moine Thrust where they did some of their best-known work. The inscription reads: "To Ben N Peach and John Horne who played the foremost part in unravelling the geological structure of the North West Highlands 1883–1897. An international tribute. Erected 1930.".[6]
Peach was twice married. His first wife was Jeanie Bannatyne (1846–1884) with whom he had four daughters and two sons. He then married Margaret Anne MacEwen (1868–1921), with whom he had two sons. Two of his sons and two of his daughters survived him. His later home was at 72 Grange Loan[7] in Edinburgh.
He died of a cerebral thrombosis at his niece's house at 33 Comiston Drive on 29 January 1926. He is buried in Morningside Cemetery, Edinburgh. The grave lies in the fenced western section, and is inaccessible without prior arrangement.[8]