Difference between Come Forth and Emerge

COME FORTH vs EMERGE: VERB

To rise out of a fluid; to come forth from that in which anything has been plunged, enveloped, or concealed; to issue and appear
To come into existence.
To become known or prominent after being in obscurity.
To become conscious.
To come into view: : appear.
To move out or away from a surrounding fluid, covering, or shelter.

To immerge; sink.
To come into existence; pass from being in cause to being in act.
To issue; proceed.
To rise from or out of anything that surrounds, covers, or conceals; come forth; appear, as from concealment; come into view, as into a higher position or state: as, to emerge from the water or from the ocean; the sun emerges from behind a cloud, or from an eclipse; to emerge from poverty, obscurity, or misfortune.

Fall into place, Find oneself, Bring forth, Bring forward, Spring to mind, Bring about, Set in motion, Get across, Come to light, Come to mind, Spring up, Crop up, Come out, Issue, Emerge

Overcome, Reappear, Ensue, Erupt, Recover, Materialize, Emanate, Come, Become, Arise, Evolve, Emergence, Come out, Issue, Come forth

Fall into place, Find oneself, Bring forth, Bring forward, Spring to mind, Bring about, Set in motion, Get across, Come to light, Come to mind, Spring up, Crop up, Come out, Issue, Emerge

Escape, Overcome, Ensue, Erupt, Recover, Materialize, Emanate, Come, Become, Arise, Evolve, Emergence, Issue, Come out, Come forth

Come forth, ruler who carries the glory of God!
Close thy mouth, and come forth from him!
Call for Helios and Vesta to come forth.
It shall no longer tarry but come forth!
The girls, Antigone and Ismene, come forth, crying.
You have two things here: first He is resurrection, when He calls the dead to come forth as He did to Lazarus, they come.
Shadrach, Meshach, and Abednego, ye servants of the most high God, come forth, and come hither.
Let the prisons bum down, and let the prisoners come forth, And let my husband come forth out of the murderous darkness.
The corn is changed, come forth, come forth, Ere all the blossoms go!
Romeo, come forth; come forth, thou fearful man.

Branches, leaves and flowers emerge from the stem.
And then get involved with things like Emerge.
Yet realthreats still linger and new ones emerge.
Discussion Section, three broad patterns seemed to emerge.
Notably, these associations could emerge in two ways.
Followup investigation is warranted if any patterns emerge.
HD FPV systems emerge in the near future.
Answers emerge from the murky business of CLOs.
The Evolution of Everything: How New Ideas Emerge.
Toraic themes that emerge from the selected text and explain how the spiritualities that emerge from reading the Torah influenced the fourth evangelist.