Captain Robert Fanshawe died at Stonehall, Stonehouse, Plymouth, Devon on 4 February 1823; at which period, had he accepted his flag, he would have been the senior Admiral of the Red. He was buried at St George's Church, Devon. On 5 December 1769 Fanshawe had married Christiana Gennys, daughter of John Gennys of Whitleigh Hall, Saint Budeaux, Devon. They had three sons and nine daughters together. His eldest son, also named Robert, followed his father into the navy, rising to the rank of captain. He died at Antigua in 1804 while in command of HMS "Carysfort", the ship his father had commanded 30 years earlier. His second son, Edward, served as an officer in the Royal Engineers, while his third son, Arthur, rose to flag rank, as did Robert's grandson, Edward. Of his daughters; Christiana married the Rev. Francis Haggitt, Prebendary and Sub-Dean of Durham; Elizabeth married F. Glanville, Esq.; Susan married Vice-Admiral William Bedford; Catharine married to Sir Thomas Byam Martin; Cordelia married Captain, later Vice-Admiral, John Chambers White; Mary married Vice-Admiral the Hon. Sir Robert Stopford, and Penelope married Colonel Duckworth, who died at Battle of Albuera on 16 May 1811. Two other daughters, Anne and Harriet, were recorded as being unmarried at the time that Fanshawe's biography was published.