There are several synonyms for the term "out-of-wedlock children". Some commonly used alternatives include "illegitimate children", "bastard children", "love children", "natural children", and "unwed mothers' children". These terms all refer to children born to unmarried parents, and are sometimes considered outdated or offensive.
However, it's important to note that the language we use to discuss these topics can have a significant impact on how we perceive and treat individuals and families. Many people prefer to use more neutral or positive language, such as "children born outside of marriage" or "children of single parents". Ultimately, it's up to each person to choose the vocabulary that feels most respectful and inclusive.