Baby-snatching is a heinous crime and the use of such a phrase must not be ignored. However, if you are looking for synonyms to express a similar sentiment, you can use phrases like child abduction, kidnapping, stealing a child, or abducting an infant. These phrases all convey the sense of taking someone's child without their consent, which is a serious offense. No matter what term you use, the act of taking someone's child is a terrible crime that must be punished accordingly. It is important to emphasize that any term used in such context should be done so with great care and sensitivity, keeping in mind the gravity of this crime.