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Beitrag zur kenntniss der farnflora der Viti-, Samoa-, Tonga- und Ellice's inseln, 1871 - Contribution to the knowledge of ferns of Viti Levu, Samoa, Tonga and the Ellice Islands.
Following the expedition to Funafuti in the Ellice Islands (now know as Tuvalu) Waite published an account of The mammals, reptiles, and fishes of Funafuti.
Leonard was a half-brother of Fred Whibley, copra trader, on Niutao, Ellice Islands (now Tuvalu); and his half-sister was Eliza Eleanor (Lillie), wife of John T. Arundel, owner of J. T. Arundel and Company which evolved into the Pacific Islands Company, and later the Pacific Phosphate Company, which commenced phosphate mining in Nauru and Banaba Island (Ocean Island).