According to the Oxford English Dictionary, 'Nestors' means the elderly of the village, in reference to the Homeric hero Nestor famous for his age and wisdom. Homer describes Nestor in the first Book of The Iliad, 'The Rage of Achilles', in these terms:
ART. VIII. Emily, a Moral Tale, including Letters from a Father to his Daughter, upon the most important Subjects. By the Rev. Henry Kett, Fellow of Trinity College, Oxford, and Author of the Elements of General Knowledge, &c., in two vols. 8vo. London, 1809.