RJM will likely not benefit from this, but for the rest of this, this is the LSJ entry on γίγνομαι + various prepositions, a treasure trove of idiomatic usages in the broader literature of ancient Greek.
c. with Preps., γ. ἀπὸ δείπνου, ἐκ θυσίας, have done .., Hdt.2.78, 1.50; πολοὺν χρόνον γ. ἀπό τινος to be separated from .., X.Mem.1.2.25; γ. εἴς τι, εἰς ἄλλο τι γιγνόμενον Pl.Ti.57a, ὅταν δὲ εἰς πύον γίνεται Gal.16.71.4, turn into, τὸ κακὸν γ. εἰς ἀγαθόν Thgn.162; freq. in Lxx, ἐγενήθη μοι εἰς γυναῖκαGe.20.12; εἰς βρῶσιν ib.La.4.10; εἰς οὐδέν, εἰς κενόν, Act.Ap.5.36, 1Ep.Thess.3.5; γ. τι εἴς τινα comes to him, of a dowry, Is.3.36; of a ward, And.1.117; γ. ἐξ ὀφθαλμῶν τινι to be out of sight, Hdt.5.24; ἐξ ἀνθρώπων γ. disappear from .., Paus.4.26.6; γ. ἐν Χίῳ Hdt.5.33, etc.; γ. ἐν .., to be engaged in .., οἱ ἐν ποιήσει γινόμενοι in poetry, Id.2.82; ἐν [πολέμῳ] Th.1.78; ἐν πείρα γ. τινος X.An.1.9.1; ἐν ὀργῇ ἐν αἰτίᾳ πρός τινα γ., Plu.Flam.16, Rom.7; of things, ἐν καιρῷ γ. to be in season, X.HG4.3.2; ἐν τύχῃ γ. τινί τι Th.4.73; γ. διὰ γηλόων, of a road, X.An.3.4.24; but διʼ ἔχθρας γ. τινί to be at enmity with, Ar.Ra.1412; γ. ἐπὶ ποταμῷ, ἐν τῷ προθύρῳ arrive or be at .., Hdt.1.189.1, Pl.Prt.313c; γ. ἐπί τινι fall into or be in one’s power, X.An.3.1.13, etc.; ἐπὶ συμφοραῖς γ. D.21.58 codd. (-ᾶς Schaefer); γ. ἐπί τινι, also, to be set over .., X.Cyr.3.3.53; γ. ἐφʼ ἡμῶν αὐτῶν to be alone, Aeschin.2.36; γ. ἐπὶ τῆς διοικήσεως D.C.43.48; γ. ἐπʼ ἐλπίδος to be in hope, Plu.Sol.14: Math., γ. ἐπὶ ἀριθμόν to be multiplied into a number, Theol.Ar.3; γ. κατά τινα or τι to be near .. or opposite to .., in battle, X.Cyr.7.1.14, HG4.2.18; but κατὰ ξυστάσεις γ. to be formed into groups, Th.2.21; καθʼ ἓν γ. Id.3.10; καθʼ αὑτοὺς γ. to be alone, D.10.52; γ. μετὰ τοῦ θείου to be with God, X.Cyr.8.7.72, etc.; ἡ νίκη γ. σύν τινι Id.Ages.2.13; γ. παρʼ ἀμφοτέροις τοῖς πράγμασι to be present on both sides, Th.5.26; γ. παρά τι to depend upon .., D.18.232; γ. περὶ τὸ συμβουλεύειν to be engaged in .., Isoc.3.12; γενοῦ πρός τινα go to So-and-so, PFay.128, etc.; γ. πρὸς τῇ καρδίᾳ to be at or near .., Pl.Phd.118, etc.; γ. πρός τινι to be engaged in .., Isoc.12.270, D.18.176; αὐτὸς πρὸς αὑτῷ meditate, Plu.2.151c; so γ. πρὸς τὸ ἰᾶσθαι Pl.R.64d; πρὸς παρασκευήν Plb.1.22.2: impers., ἐπεὶ πρὸς ἡμέραν ἐγίγνετο X.HG2.4.6; γενέσθαι πρός τινων to be inclined towards them, Hdt.8.22.2; γ. πρὸ ὁδοῦ to be forward on the way, Il.4.382; γ. ὑπό τινι to be subject to .., Hdt.7.11, Th.7.64; γ. ὑπὸ ταῖς μηχαναῖς to be under the protection of .., X.Cyr.7.1.34.
Liddell, H. G., Scott, R., Jones, H. S., & McKenzie, R. (1996). A Greek-English lexicon (pp. 349–350). Oxford: Clarendon Press.