I guess I misunderstood. You just want swap the face on a character?
It could be as simple as saving head preset morph in Head Morph content folder and applying that to a new baby,
But only if a new baby is a base and is the same as the source baby before you start morphing it.
Otherwise the result may greatly vary and the only reliable way for the full transfer of dissimilar heads is outside of CC.
Let me know, I might help.