Arcana Coelestia # 3274
3274. And these are the years of the life of Ishmael. That this signifies a state representative by Ishmael of the Lord’s spiritual kingdom, is evident from the signification of “years” and of “lives,” as here being representative states (n. 3251); and from the representation of Ishmael, as being the Lord’s spiritual kingdom (n. 2699, 3263, 3268).
Arcana Coelestia # 533
533. As nothing more is related concerning Lamech than that he begat sons and daughters, which are the conceptions and births of such a church, we shall dwell no longer on the subject. What the births were, or the “sons and daughters” appears from the church; for such as is the church, such are the births from it. Both the churches called “Methuselah” and “Lamech” expired just before the flood.