[1] Likewise or similarly in other lexica (references at Photius sigma395 Theodoridis), in reference to the appearance of the headword in Homer, Odyssey 14.112.
[2] Quotation unidentifiable; Adler tentatively attributes it to Aelian. Be that it may, she notes Gaisford's citation of Plutarch, Alexander 75.5, which is the only other extant mention of a 'goblet of Herakles'; and this is, without question, a version of the notorious drinking scene that immediately preceded the death of Alexander the Great in 323 BCE. (He is the person in the nominative case here, though the participle that introduces him is genitive and must refer to someone else.) Besides Plutarch, see principally: Diodorus Siculus 17.117; Arrian, Anabasis 7.24-25; Aelian, Varia Historia 3.23; Curtius Rufus 10.4-5; Justin 12.13.7-10. Alexander would have been drinking in honor of Herakles, whose death at Mt. Oita was being celebrated (Diodoros 17.117.1); Alexander himself felt a special connection to the god, whom he claimed as an ancestor. Athenaeus, Deipnosophists 11.500A (11.101 Kaibel), describes special cups called skyphoi Herakleotikoi, and it may be that the toast mentioned here was done with such a cup. ('Heracleotic' also, in other contexts, means extravagantly large, so the sheer size of such a cup -- big enough for H. to use as a coracle on his way to capture the cattle of Geryon -- and the amount of wine it held is relevant.)