Arcana Coelestia # 2644
2644. For I have borne a son to his old age. That this signifies that this was done when the days were fulfilled, is evident from the explication of nearly the same words in the second verse (as to which see n. 2621-2624).
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.