In 'Hot Horse Hyatt', aired on June 8, 1958 (Episode 322), the plot revolves around Del Braggen, a local rancher in Dodge City who attempts to hang a stranger, accusing him of stealing two of his prized horses. The episode navigates through themes of justice and vengeance as Marshal Matt Dillon intervenes to uncover the truth behind the accusations, maintaining order in a town rife with tension.