Baby bringer could have several different synonyms depending on what context it is being used in. If we are talking about a mythical figure who brings babies to families, then a synonym could be "stork." Some may also refer to this figure as a "baby delivery person." Another synonym that may come to mind is "midwife," as they often assist in bringing babies into the world. However, if we are referring to a parent who is expecting a child, then the synonym for baby bringer could simply be "parent-to-be." Overall, the synonym for the term "baby bringer" ultimately depends on the specific usage and context in which it is being used.