The name of Solanum cheesmaniae (Riley) Fosberg honours Lucy Evelyn Cheesman, a intrepid entomologist initially linked with the London Zoological Gardens, then later with the British Museum (Natural History) who undertook many expeditions to the Pacific between 1924 and 1954, including spending extensive periods of time in New Guinea and Vanuatu. She collected a wealth of material, mainly insects, but various plants as well.
She wrote a number of books about her journeys. These were well-received and popular at the time, but are hard to come by now.
Her Wikipedia page (https://en.wikipedia.org/wiki/Evelyn_Cheesman) is a good precis of her life and her activities, and a (perhaps rather dry) writeup about the nomenclatural issues around S. cheesmaniae was written by Knapp and Darwin (2006).
Knapp, S. and Darwin, S.C. (2006), (1736) Proposal to conserve the name Solanum cheesmaniae (L. Riley) Fosberg against S. cheesemanii Geras. (Solanaceae). Taxon, 55: 806-807. https://doi.org/10.2307/25065662