In a community context, the false rumor could spread and affect the family's standing in the neighborhood or social circle. Neighbors might start to gossip and avoid the family. This could also have an impact on the son's social life, as his friends might be influenced by the false story. It's important to always base our judgments on facts and not spread unfounded rumors.
The relationship between the mother and her son could also be severely strained. The son might be confused and angry, not knowing who to believe. And the family dynamic as a whole could be disrupted. There could be a breakdown in communication and trust within the family. The mother may also experience a great deal of emotional distress, such as feeling isolated and betrayed by those who believe the false accusation.