Sources

1) Source: Chancery: Inquisitions Post Mortem, Series I, Edward I "Aline la Despensere, daughter and heir of Philip Basset, alias Aveline countess of Norfolk, alias Aline countess Marescall... Sir Philip Bassett gave the manor in free marriage to Hugh le Despenser, with Aline his daughter...Hugh, son of Hugh le Despenser, age unknown, is next heir."Dated: 1280. External Link
https://www.british-history.ac.uk/inquis-post-mortem/vol2/pp223-230. Reference: C 133/27/8 (Data from direct source)
2) Source: Chancery: Inquisitions Post Mortem, Series I, Henry III "Philip Basset...He died on the morrow of SS. Simon and Jude last.Aline his daughter, wife of Roger Bygod earl of Norfolk, marshal of England, late the wife of Sir Hugh le Despensir, age variously stated as 22 and more, 24 and more, 26, and 30 and more, is his heir. Or the said Roger Bygod is the heir by reason of his wife."Dated: 1271. External Link
https://www.british-history.ac.uk/inquis-post-mortem/vol1/pp261-273. Reference: C 132/41/20 (Data from secondary evidence)
3) Source: Chancery: Inquisitions Post Mortem, Series I, Edward III "Margaret de Warbelton...The manor, held for her life of the heir of Hugh Plecy, as of the fee of Oyly (Doyly), by knight’s service, with reversion to Hugh le Despencer, earl of Winchester, and his heirs...Edward le Despencer, aged 24 years and more, son and heir of Edward le Despencer, brother and heir of Hugh le Despencer, son and heir of Hugh le Despencer, son and heir of the aforesaid Hugh le Despencer, earl of Winchester, is her heir."Dated: 1366 Evidences Hugh is father of Hugh.. External Link
https://www.british-history.ac.uk/inquis-post-mortem/vol12/pp51-65. Reference: C 135/188/14 (Data from direct source)
4) Source: Special Collections: Ancient Petitions "Philip le Despenser states that Hugh le Despenser the father, his grandfather, gave and granted to Philip his son, Philip's father, certain lands and tenements, namely Barrow in Cheshire, Parlington in Yorkshire, Alkborough in Lincolnshire, for Philip and the heirs of his body to have and hold."Dated: c1346. External Link
https://discovery.nationalarchives.gov.uk/details/r/C9735773. Reference: SC 8/293/14611 (Data from direct source)
5) Source: Exchequer: Treasury of Receipt: Ancient Deeds, Series A "Letters Patent of Hugh le Despenser, knight, granting to Philip le Despenser, his son, all his goods and chattels in the manors of Parlingtone and Hauctebarg, "Dated: 1293-1294.. External Link
https://discovery.nationalarchives.gov.uk/details/r/C4941938. Reference: E 40/3185 (Data from direct source)