 She was the childless widow of Count Hugues III of Chalon-sur-Saône and daughter of Robert the Old, Duke of Burgundy and his first wife Hélie de Semur-en-Brionnais, and great-granddaughter of Hugh Capet, King of France.She was also the niece of Abbot Hugh of Cluny and aunt of Henry of Burgundy.From this union, which lasted until Constance's death in 1093, were born six children, of whom only one reached adulthood