Is there any evidence that κυέω "conceive", "be with child" was used in the Koine period alongside the derivative form ἀποκυέω (occurring twice in a metaphorically sense in
τίκτειν (here) to carry in the womb [the verb corresponding to the time period of βρέφος],
ἀποτελεσθῆναι be brought to completion (cf. ἀποτέλεσμα "result" (the end product of a process), and τέλειος the adjective that would describe something after it has gone through the verbal process of ἀποτελεσθῆναι),
ἀποκύειν give birth to (the stage at which it becomes visible).
If κύειν and τίκτειν were contemporary synonyms in the Koine, what difference would be between them?
τίκτειν (here) to carry in the womb [the verb corresponding to the time period of βρέφος],
ἀποτελεσθῆναι be brought to completion (cf. ἀποτέλεσμα "result" (the end product of a process), and τέλειος the adjective that would describe something after it has gone through the verbal process of ἀποτελεσθῆναι),
ἀποκύειν give birth to (the stage at which it becomes visible).
Why do you say that "τικτειν" means "to carry in the womb"? It seems to me to just mean "bring forth", which in childbearing refers to the time of birth (Eccl 3:2, Isa 26:17, Luke 2:11) and in other things refer to the realization of that which is brought forth (Prov 3:28, Heb 6:7, Jam 1:15).
So far as I know τίκτειν is the verb for the mother, while βρέφος describes the baby before and after birth. The adjective describing the mother during the pre-birth time is έγκυος (which I think has a broader meaning than "heavy with child" going right back to the first physical indication of pregnancy in the shape of the belly). That's to say that I think τίκτειν is a long-term verb covering the mother's nourishing the baby's body from her own: the bearing and the birth (cf. Weal v. Wealth ), and breast-feeding (θηλύζειν) as well. In a particular situation one part of the meaning of τίκτειν may be highlighted.
The basic question in this verse is whether there are two birth cycles referred to using different verbs or just one cycle with verbs having limited specific meanings.
I have used τίκτειν with the limited sense because I think there is only one cycle.
That further assumes that αποτελεσθήναι means that the baby is τέλειος enough to be born and survive, rather than that the baby has grown up to adulthood and produces a baby of her own. The other verb you might like to consider as a synonym for αποτελεσθήναι is συνίστημι. The assumption I've made in considering their synonymy is that συίστημι is talking about the basic taking form, while αποτελεσθήναι talks about them being ready to function adequately. That is to say perfect means being a viable foetus rather than a sexually mature adult.
I'm sorry I didn't include those two aspects of my thinking in the first post, but they are a bit involved and readers might have found them daunting, and the discussion of private issues could be sensitive.
The thread question was posed to test the meaning of τίκτειν, in that if κύειν is not used in contemporary literature, it would be further indication that τίκτειν is used with the limited sense here that κύειν would have expressed in an earlier period.
That is not to say that it could not by itself be used in that sense even if κύειν is used contemporaneously, just as τίκτειν can be used to mean "to give birth" contemporaneously with αποκύειν.