The headword is the demotikon (deme-name) for the small Attic deme Azenia. Source for this opening paragraph: Harpokration s.v., commenting on the headword's appearance in Aeschines 3.139.
[1] For the tribal eponym Hippothoon see iota 558 (and OCD s.v.). Strabo (9.398) appears to locate this deme at the southern tip of Attica, but his text is conventionally emended from Azenieis to Ateneis (Der kleine Pauly, 1. Stuttgart 1964, s.v.); if that is correct, little evidence remains for locating Azenia (though J.S. Traill, Demos and Trittys (Toronto 1986) 137 with n.40 makes a tentative suggestion).
[2] An error (also in some other entries of this kind) for demesman.
[3] Erchia and Halai are two other demes in Attica. E. belonged to the Aegeid tribe, Halai to either Aigeis (H. Araphenides) or Kekropis (H. Aixonides). See generally J.S. Traill, The Political Organization of Attica (Princeton 1975) appendix D, at p.124.
[4] Polemon fr.65 Preller. Polemon's book of this name is a diatribe against Adaios and Antigonos, writers about art and crafts at the court of King Attalus. (For Adaios (alpha 431) of Mytilene see Athenaeus, Deipnosophists 13.606A-B (13.84 Kaibel); Der Kleine Pauly, 4, Munich 1972 s.v. Polemon(4) and Adaios(3).)