Wait, I thought you were referring to Leonora 1162.Oct.13–1214.Oct.31, queen of Castile aka Eleanor of England and daughter of Henry II 1133.Mar.05–1189.Jul.06, duke of Normandy and king of England, and Aliénor d'Aquitaine aka Eleanor of Aquitaine 1122?–1204.Apr.01, queen of France, England, and duchess of Aquitaine in her own right.
Sorry, too many languages (thus spellings) in the mix. In English, the daughter is often referred to as Leonora, her Spanish name, to distinguish her from her mother Aliénor.
Guilliame d'Aquitaine 1071.Oct.22–1127.Feb.10 aka William the Troubadour was the 7th count of Poitou, 9th duke of Aquitaine, and duke of Gascony. He was Aliénor's paternal grandfather, and he was also the earliest troubadour whose songs have survived. He was witty and urbane, and powerful enough to spurn any attempt by the Church to control him. He was excommunicated twice; his excommunications were notable mainly for his quip each time, which both survived to amuse us today.
Dangereuse de l'Isle Bouchard 1079–1151, countess of Châtellerault, was the wife of one of William's vassals, with whom he had a very public and passionate affair. She was also Aliénor's maternal grandmother.
The affair started in 1113, when William's wife Philippa 1073–1118.Nov.28, countess of Toulouse and Aliénor's paternal grandmother, was away tending to business in Toulouse. When she returned to Poitiers by 1115, Philippa found that William had installed Dangereuse in a tower of her palace. This enraged her, but her appeals to those in power went unanswered and she hied off to refuge in Fountevrault, where she became good friends with William's first wife, Ermengarde. After Philippa died, Ermengarde took up Philippa's charge to no avail except for the enjoyment of irritating William.
William IX's relationship with his son William X was strained by his preference for Dangereuse over Philippa. This was alleviated somewhat when Dangereuse proposed a marriage between her daughter Aenor by her husband and her lover's son William X, and the children were married in 1121. Aliénor was born the next year.
The second thing I would ask Aliénor, should I time travel her way, is about her relationship with her maternal grandparents and particularly with Dangereuse, who drops from the records after William IX's death except that both she and her husband Aimery are given a death date of 1151, outliving their daughter by 21 years and their son-in-law by 14. Philippa died before Aliénor was born, and William IX when she was no more than 6, Aenor and her brother when she was no more than 10 (making her the heir). Her father died when she was 14 or 15; she inherited the duchy and within weeks became queen of France. She had her sister Petronella for a trusted companion, but Dangereuse and Aimery were the only closely related adults she would have had the chance to know. The responsibility of ruling a third of France would have been heady for any teenager, no matter how prepared, well educated, and suitable she was to take on the job. (And she was. For example, much of the code of maritime law* she put into place as duchess survives today.) Did they look after her interests while she was in Paris? Give good advice? Or was it uncomfortable, her grandparents being her vassals? Did Dangereuse go back to live in Châtellerault with Aimery? Sure, we know about her relationship with her paternal uncle Raymond, but it's also known that Aliénor had a good relationship with Aenor's brothers, her maternal uncles.
The first question, of course, would be, "Could you please remove your veil?"
* Think I exaggerate? Look up the Rolls of Oléron. It's her legacy.