Claude Françoise de Lorraine
Claude of Lorraine (6 October 1612 – 2 August 1648) was a daughter of Henry II, Duke of Lorraine, and Margerita Gonzaga, her sister was Nicole, Duchess of Lorraine.
She married her first cousin and was the Duchess of Lorraine by marriage.
Nicholas I, Duke of Lorraine
Nicholas of Anjou (July 1448 – 27 July 1473) was the son of John II, Duke of Lorraine and Marie de Bourbon.
Nicholas was born and died in Nancy.
He succeeded his father in 1470 as Duke of Lorraine, and assumed the titles of Marquis of Pont-à-Mousson, Duke of Calabria, and Prince of Girona, as heir apparent of Bar, Naples, and Aragon respectively.
He was engaged to Anne of France, Viscountess of Thouars, and used her title, but he did not marry her and had only one illegitimate daughter, Marguerite, wife of John IV of Chabannes, Count of Dammartin (d. 1503).
Some said he had been poisoned by agents of King Louis XI of France.
On his death the Duchy of Lorraine went to his aunt Yolande.
Bertha, Duchess of Lorraine
Bertha of Lorraine( or Bertha of Swabia)( b.c. 1123/30 – d. 1194/ 5) was a member of the Hohenstaufen dynasty.
She was the daughter of Frederick II, Duke of Swabia and, through marriage to Matthias I duke of Lorraine, she was duchess of Lorraine( c.1138-1176).
Dorothea of Lorraine
Dorothea of Lorraine( 24 May 1545 – 2 June 1621), was by birth a member of the House of Lorraine and by marriage to Eric II, Duke of Brunswick- Lüneburg, Duchess of Brunswick- Lüneburg- Calenburg.
Born at the Château de Deneuvre, she was the third child and second daughter of Francis I, Duke of Lorraine and Christina of Denmark.
Her paternal grandparents were Antoine, Duke of Lorraine and Renée of Bourbon- Montpensier and her maternal grandparents were Christian II of Denmark and Isabella of Austria.
Charles Henri, Prince of Commercy
Charles Henri of Lorraine( 17 April 1649 – 14 January 1723) was the legitimated son of Charles IV, Duke of Lorraine, and Béatrix de Cusance.
He was given the Principality of Commercy in 1708 by his cousin Leopold, Duke of Lorraine.
He was also the Count of Falkenstein.
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.
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.
Renata of Lorraine
Renata of Lorraine( 20 April 1544 – 22 May 1602) was by birth a member of the House of Lorraine and by marriage Duchess of Bavaria.
Born in Nancy, France, she was the second child and eldest daughter of Francis I, Duke of Lorraine and Christina of Denmark.
Her paternal grandparents were Antoine, Duke of Lorraine and Renée of Bourbon- Montpensier and her maternal grandparents were Christian II of Denmark and Isabella of Austria.
Hubba bint Hulail
Hubba bint Hulail was the grandmother of Hashim ibn' Abd Manaf, thus the great- great- great- grandmother of the Islamic" Nabī"( Prophet) Muhammad ibn Abdullah.
John II, Duke of Lorraine
John II of Anjou (Nancy, August 2, 1426 – December 16, 1470, Barcelona) was Duke of Lorraine from 1453 to his death.
He was the son of René of Anjou and Isabella, Duchess of Lorraine.

Question: Who is the paternal grandmother of Nicholas I, Duke Of Lorraine?
Answer: Isabella, Duchess of Lorraine