It would be something like "the baby was born at midnight, she cried until (the) dawn". I believe the more natural way of saying that would be without the "the", just "she cried until dawn", but I want to know if it would be icorrect, if desired, to say "she cried until the dawn". Also whether or not "until next dawn" sound weird in that context.
Other daily events share the same dichotomous relationship with the definite article e.g. dusk, nightfall, evening, morning, afternoon.
Generally if the word is being used as a time marker it does not normally take the article e.g.They danced until dawn; or The mood will have changed come evening.
However if the time of day is the subject, object or part of a dependent clause, the article is more often used e.g. The evening was a great success; At the conference the morning was more interesting than the afternoon. or What I was told, during the afternoon, was contrary to what I had heard the previous evening.
This is not the end of the story, and others will undoubtedly add further elaboration and nuance to what I have said.
It depends on what you mean by incorrect. If you mean is that structure of words a grammatically correct sentence in English, then, yes, it is. If you mean is that what any native speaker would ever say, then it has to be 'until dawn', as you believe, unless the poor child cried until dawn the next day, in which case you would need to specify which dawn you are talking about.