Question: Who is Gothelo I, Duke Of Lorraine's paternal grandmother?

Knowledge 1: Gothelo I, Duke of Lorraine
Gothelo (or Gozelo) (– 19 April 1044), called the Great, was the duke of Lower Lorraine from 1023 and of Upper Lorraine from 1033.He was also the margrave of Antwerp from 1005 (or 1008) and count of Verdun.Gothelo was the youngest son of Godfrey I, Count of Verdun, and Matilda Billung, daughter of Herman, Duke of Saxony.On his father's death, he received the march of Antwerp and became a vassal of his brother, Godfrey II, who became duke of Lower Lorraine in 1012.He succeeded his brother in 1023 with the support of the Emperor Henry II, but was opposed until Conrad II forced the rebels to submit in 1025.When the House of Bar, which ruled in Upper Lorraine, became extinct in 1033, with the death of his cousin Frederick III, Conrad made him duke of both duchies, so that he could assist in the defence of the territory against Odo II, count of Blois, Meaux, Chartres, and Troyes (the later Champagne).In the battle at Bar on 15 November 1037, Gothelo dealt a decisive blow to Odo, who was trying to create an independent state between France and Germany.Odo died in the battle.Gothelo died on 19 April 1044 and was buried in the Abbey Church of Bilzen.His son Godfrey succeeded in Upper Lorraine, but the Emperor Henry III refused to give him the duchy of Lower Lorraine as well.When Godfrey showed disagreement with the imperial decision, Henry III threatened to pass the duchy to Godfrey's incompetent brother Gothelo.This caused a long rebellion in Lotharingia between the allies of Godfrey (the counts of Flanders and Leuven) and imperial forces (1044–1056). [SEP] Knowledge 2: Godfrey I, Count of Verdun
Godfrey I (died 1002), called the Prisoner or the Captive ("le Captif"), sometimes the Old ("le Vieux"), was the count of Bidgau and Methingau from 959 and the count of Verdun from 963 to his death.In 969, he obtained the Margraviate of Antwerp and Ename.Between 974 and 998, he was also the count of Hainault and Mons.He was the son of Gozlin, Count of Bidgau and Methingau, and Oda of Metz.He was the brother of Adalberon, Archbishop of Reims, who crowned Hugh Capet the king of France.He was the founder of the House of Ardennes-Verdun, a cadet branch of the House of Ardennes.He was always loyal to the Ottonians, whom he was related through his maternal grandmother.
Knowledge 1: Gothelo I, Duke of Lorraine
Gothelo (or Gozelo) (– 19 April 1044), called the Great, was the duke of Lower Lorraine from 1023 and of Upper Lorraine from 1033.He was also the margrave of Antwerp from 1005 (or 1008) and count of Verdun.Gothelo was the youngest son of Godfrey I, Count of Verdun, and Matilda Billung, daughter of Herman, Duke of Saxony.On his father's death, he received the march of Antwerp and became a vassal of his brother, Godfrey II, who became duke of Lower Lorraine in 1012.He succeeded his brother in 1023 with the support of the Emperor Henry II, but was opposed until Conrad II forced the rebels to submit in 1025.When the House of Bar, which ruled in Upper Lorraine, became extinct in 1033, with the death of his cousin Frederick III, Conrad made him duke of both duchies, so that he could assist in the defence of the territory against Odo II, count of Blois, Meaux, Chartres, and Troyes (the later Champagne).In the battle at Bar on 15 November 1037, Gothelo dealt a decisive blow to Odo, who was trying to create an independent state between France and Germany.Odo died in the battle.Gothelo died on 19 April 1044 and was buried in the Abbey Church of Bilzen.His son Godfrey succeeded in Upper Lorraine, but the Emperor Henry III refused to give him the duchy of Lower Lorraine as well.When Godfrey showed disagreement with the imperial decision, Henry III threatened to pass the duchy to Godfrey's incompetent brother Gothelo.This caused a long rebellion in Lotharingia between the allies of Godfrey (the counts of Flanders and Leuven) and imperial forces (1044–1056). [SEP] Knowledge 2: Nicolas, Duke of Mercœur
Nicolas of Lorraine, Duke of Mercœur (16 October 1524 – 23 January 1577) was the second son of Antoine, Duke of Lorraine and Renée de Bourbon.
Knowledge 1: Gothelo I, Duke of Lorraine
Gothelo (or Gozelo) (– 19 April 1044), called the Great, was the duke of Lower Lorraine from 1023 and of Upper Lorraine from 1033.He was also the margrave of Antwerp from 1005 (or 1008) and count of Verdun.Gothelo was the youngest son of Godfrey I, Count of Verdun, and Matilda Billung, daughter of Herman, Duke of Saxony.On his father's death, he received the march of Antwerp and became a vassal of his brother, Godfrey II, who became duke of Lower Lorraine in 1012.He succeeded his brother in 1023 with the support of the Emperor Henry II, but was opposed until Conrad II forced the rebels to submit in 1025.When the House of Bar, which ruled in Upper Lorraine, became extinct in 1033, with the death of his cousin Frederick III, Conrad made him duke of both duchies, so that he could assist in the defence of the territory against Odo II, count of Blois, Meaux, Chartres, and Troyes (the later Champagne).In the battle at Bar on 15 November 1037, Gothelo dealt a decisive blow to Odo, who was trying to create an independent state between France and Germany.Odo died in the battle.Gothelo died on 19 April 1044 and was buried in the Abbey Church of Bilzen.His son Godfrey succeeded in Upper Lorraine, but the Emperor Henry III refused to give him the duchy of Lower Lorraine as well.When Godfrey showed disagreement with the imperial decision, Henry III threatened to pass the duchy to Godfrey's incompetent brother Gothelo.This caused a long rebellion in Lotharingia between the allies of Godfrey (the counts of Flanders and Leuven) and imperial forces (1044–1056). [SEP] Knowledge 2: Tjuyu
Tjuyu( sometimes transliterated as Thuya or Thuyu) was an Egyptian noblewoman and the mother of queen Tiye, and the wife of Yuya.She is the grandmother of Akhenaten, and great grandmother of Tutankhamun.

Answer: Oda of Metz