[1] This part of the entry is an Homeric gloss, taken from the Synagogê (Lexica Segueriana, eta248.26); the source is a scholion to Homer, Iliad 2.79 or 3.153. It refers to the formulaic phrase ηγήτορες ἠδὲ μέδοντες “commanders and lords” occurring 23 times in Homer.
[2] This second part seems to have been taken from the Lexicon Ambrosianum. The noun is very rare, and although this meaning is plausible, it is not attested elsewhere. What is attested is ἡγητορία applied to the fig (see e.g. Athenaeus, Deipnosophists 74D), as “the first cultivated fruit discovered”; or (Etymologicum Magnum 418.49) a fig-cake. For that, however, the more proper form appears to be ἡγητηρία : see LSJ s.v.