Question: Who is the maternal grandfather of Guigues Vii Of Viennois?

Knowledge 1: Guigues VII of Viennois
Guigues VII (1225–1269), of the House of Burgundy, was the dauphin of Vienne and count of Albon, Grenoble, Oisans, Briançon, Embrun, and Gap from 1237 to his death.He was the son of Andrew Guigues VI and Beatrice of Montferrat.When his father died, his mother helped guide the leadership of the new Dauphin.He fought great contests over the counties of Embrun and Gap with Charles, Count of Provence and Forcalquier.Those counties were the dowry of his father's first wife, Beatrice of Forcalquier.Guigues VI had repudiated his first wife and married a second, giving the counties of his former wife to the son of his second: Guigues VII.Charles, as heir to the county of Forcalquier, claimed the counties.A compromise was eventually reached whereby Guigues retained Embrun, but Charles received Gap.In 1239, the young Dauphin entered negotiations to marry Cecile of Baux with the help of his ally, Raymond VII of Toulouse.Cecile's father, Barral later claimed that he only negotiated the engagement under threats against his life.In 1241, he became engaged to Beatrice of Savoy, daughter of Peter of Savoy and Agnes of Faucigny.Peter's brother, Philip agreed to help the Dauphin fight the count of Valentinois.In 1247, Guigues was summoned by Frederick II, Holy Roman Emperor to join the army he was assembling in Savoy.This army was being gathered to attack the Pope in Lyon, though ultimately Frederick was distracted by other battles in Italy.In 1253, Guigues married Beatrice (1237–1310).For her dowry, Beatrice brought Guigues Faucigny, a distant territory menacing Savoy, the traditional enemy of the Viennois.Many wars of Guigues' descendants would be aimed at the defence of this land from the Savoyard counts.Guigues had two sons and a daughter: [SEP] Knowledge 2: Beatrice of Montferrat
Beatrice of Montferrat (c.1210 – 1274) was an Italian noblewoman, the eldest daughter of William VI, Marquess of Montferrat, and the third wife of Guigues VI of Viennois, by whom she had two sons.According to the vida of the troubadour Gauseran de Saint-Leidier, Beatrice was the "domna" (lady), whom he allegedly loved.He celebrated his idealised devotion to her in his "cansos.
Knowledge 1: Margaret of Burgundy, Countess of Savoy
Marguerite of Burgundy( referred to as Anne by some sources; 1192 – 1243), was, by marriage, Countess of Savoy from 1233 until her death.She was the youngest daughter of Hugh III, Duke of Burgundy, and his second wife, Béatrice of Albon.Around 1217, she married Amadeus IV, Count of Savoy.As dowry, she brought Miribel castle, Ornacieux castle, and other properties in Viennois territory.The marriage was agreed to as part of a treaty between the families, including terms not to acquire further territories within each other's dominions.She and her new husband were also designated as heirs for her brother Guigues VI of Viennois after any children of his.However, this peace between the families did not last long, with conflict resuming by 1228.She also personally inherited some money upon the death of her mother.The 1267 will of her nephew Guigues VII of Viennois confirmed donations of property which she had made.Marguerite and Amadeus had two daughters:Note that some scholars are unclear on Marguerite's given name.A book about the house of Savoy at this time mentions the debate regarding her name, but finds a source which Cox finds settles the debate. [SEP] Knowledge 2: Aymon II of Geneva
Aymon II( died 1280) was the Count of Geneva from 1265.He was the son and heir of Count Rudolf, but died heirless himself and was succeeded by his brother Amadeus II.According to one modern historian, he was “ overawed by the power of the count of Savoy ”, and did little during his fifteen- year reign to recover the lands and jurisdictions lost to the Savoyards by his father and grandfather.In 1279 Aymon married Constance, a daughter of Gaston VII of Béarn and viscountess in her own right of Marsan and Bigorre.The marriage was arranged by Gaston's second wife, “ la Grande Dauphine ” Beatrice, who as a daughter of Peter II of Savoy and widow of Guigues VII of Viennois, was related to two traditional rivals of the counts of Geneva.Constance was twice widowed herself, having been married very briefly to Alfonso, a son of James I of Aragon, and to Henry of Almain, son of Richard, King of Germany.She bore him no children.Late in his life, Aymon may have become involved an anti-Angevin alliance under the auspices of the Crown of Aragon.In 1280, Peter III of Aragon( James's son), who had a claim on the Kingdom of Sicily, then ruled by an Angevin, sent a secretive message," to treat of certain affairs", to several princes who were threatened by Angevin power in the County of Provence and the Piedmont.Dalmau de Villarasa, the ambassador bearing the letters, was accredited to, among others, the count of Geneva.
Knowledge 1: Guigues VII of Viennois
Guigues VII (1225–1269), of the House of Burgundy, was the dauphin of Vienne and count of Albon, Grenoble, Oisans, Briançon, Embrun, and Gap from 1237 to his death.He was the son of Andrew Guigues VI and Beatrice of Montferrat.When his father died, his mother helped guide the leadership of the new Dauphin.He fought great contests over the counties of Embrun and Gap with Charles, Count of Provence and Forcalquier.Those counties were the dowry of his father's first wife, Beatrice of Forcalquier.Guigues VI had repudiated his first wife and married a second, giving the counties of his former wife to the son of his second: Guigues VII.Charles, as heir to the county of Forcalquier, claimed the counties.A compromise was eventually reached whereby Guigues retained Embrun, but Charles received Gap.In 1239, the young Dauphin entered negotiations to marry Cecile of Baux with the help of his ally, Raymond VII of Toulouse.Cecile's father, Barral later claimed that he only negotiated the engagement under threats against his life.In 1241, he became engaged to Beatrice of Savoy, daughter of Peter of Savoy and Agnes of Faucigny.Peter's brother, Philip agreed to help the Dauphin fight the count of Valentinois.In 1247, Guigues was summoned by Frederick II, Holy Roman Emperor to join the army he was assembling in Savoy.This army was being gathered to attack the Pope in Lyon, though ultimately Frederick was distracted by other battles in Italy.In 1253, Guigues married Beatrice (1237–1310).For her dowry, Beatrice brought Guigues Faucigny, a distant territory menacing Savoy, the traditional enemy of the Viennois.Many wars of Guigues' descendants would be aimed at the defence of this land from the Savoyard counts.Guigues had two sons and a daughter: [SEP] Knowledge 2: Margaret of Burgundy, Countess of Savoy
Marguerite of Burgundy( referred to as Anne by some sources; 1192 – 1243), was, by marriage, Countess of Savoy from 1233 until her death.She was the youngest daughter of Hugh III, Duke of Burgundy, and his second wife, Béatrice of Albon.Around 1217, she married Amadeus IV, Count of Savoy.As dowry, she brought Miribel castle, Ornacieux castle, and other properties in Viennois territory.The marriage was agreed to as part of a treaty between the families, including terms not to acquire further territories within each other's dominions.She and her new husband were also designated as heirs for her brother Guigues VI of Viennois after any children of his.However, this peace between the families did not last long, with conflict resuming by 1228.She also personally inherited some money upon the death of her mother.The 1267 will of her nephew Guigues VII of Viennois confirmed donations of property which she had made.Marguerite and Amadeus had two daughters:Note that some scholars are unclear on Marguerite's given name.A book about the house of Savoy at this time mentions the debate regarding her name, but finds a source which Cox finds settles the debate.

Answer: William VI, Marquess of Montferrat