The Neotropical genus Hynhamia Razowski, 1987 is redescribed. Six species are recognized: H. hemileuca (Meyrick, 1932), type species; H. sciodryas (Meyrick, 1926), comb. n.; H. brunana sp. n.; H. cornutia sp. n.; H. sp. A; and H. sp. B; the latter two are known only from single females and therefore are not formally named. The genitalia are described and illustrated for each species. Initially assigned to Chlidanotini (Chlidanotinae), Hynhamia is transferred to Euliini on the basis of the possession of a foreleg hairpencil and moderately long antennal setulae (= cilia) in the male, and the presumably plesiomorphic female genitalia. Members of Hynhamia lack all convincing synapomorphies for inclusion in the Chlidanotini, i.e., hami, large saccus-vinculum complex, and laterally compressed antennae in the male; and the characteristic 'asteroid' signum and associated accessory bursa in the female.