παιδογονία
From LSJ
ὁμοῦ ἦν καὶ ἔχειν τὴν πόλιν καὶ τὸ γένος ὅλον μετὰ τῆς πόλεως → it was much the same thing to have the city and to have the whole race together with the city
English (LSJ)
ἡ,
A begetting of children, Pl.Smp. 208e, Hld.10.40; giving birth to children, of the mother, Ath.Med. ap. Orib.inc.7.3, Sor.1.27.
παιδο-γόνια (sc. ἱερά), τά, a festival
A at a child's birth, D.S.33.13.