In the case of Smith v. Smith, the dispute involved a family matter, specifically concerning child custody and support. The case was brought to court to determine the best living arrangements for the children involved, as both parents sought primary custody. The court evaluated various factors, including the children's well-being, each parent's ability to provide care, and the existing relationship between the children and their parents. Ultimately, the judge made a decision aimed at ensuring the children's best interests were prioritized in the custody arrangement.