Edward married, first, Clara Frances Paterson on 6 June 1899; and, second, Alice Marion Shand, granddaughter of Henry Alfred Alford Nicholls, in 1927, with whom he had a son, David, in 1935.
During his time in the Gilbert and Ellice Islands he worked to improve conditions involved in the mining of phosphates.[3]
Eliot […] was struggling at the time of our arrival to improve the conditions that governed the mining of phosphate on Ocean Island. His aims were to secure for the Banaban villagers an increase of the tonnage-royalties paid into a trust fund for their phosphate, and to set up guards against the premature encroachment of the diggings upon their villages. He won his fight eventually in the teeth of much official misunderstanding. Fifteen years later, as Resident Commissioner myself, I was called to add a little to the foundations he had laid, and others added more after me. But it was mainly due to his courage and foresight between 1913 and 1920 that the Banabans of 1945 found themselves in a position to buy an exquisite new home for themselves in the Fiji group and to migrate there in their own good time.[4]
Eliot's published writings encompass two works in three publications in one language and 56 library holdings.[6]
Gilbert and Ellice Islands Protectorate. Report for 1912-1914: Presented to both Houses of Parliament by command of His Majesty. June, 1915.
Address to Legislative Council of Dominica (1928)
Broken Atoms (1938)
Ocean Island Affairs: Gilbert and Ellice Islands Protectorate (later Colony), 1913-20. (1938)
Journals
"A Model Protectorate: Gilbert & Ellice Islands, Central Pacific". United Empire: The Royal Colonial Institute Journal. 6 (12): 878–882. December 1915.
"In an Open Boat on the Pacific". United Empire: 393–395. September 1918.