Senior heirs in each line from John of Gaunt -
Heirs of Philippa of Lancaster
John II of Portugal and his sister Joanna were the senior heirs in the 1480s
Heirs of Elizabeth of Lancaster:
Ralph 3rd Earl of Westmorland was the senior heir general of Elizabeth of Lancaster - he served Richard III loyally - descended from the 2nd Duke of Exeter.
After him would be
Edmund Grey, 1st Earl of Kent and then Richard Fiennes, 7th Baron Dacre
Heirs of Catherine of Lancaster
Isabella of Castille
Heirs of John Beaufort, 1st Earl of Somerset
Lady Margaret Beaufort Countess of Richmond
Eleanor Beaufort, Countess of Ormonde, Lady Spencer
Henry Stafford 2nd Duke of Buckingham
Margaret Dayrell Lady Audley
James III of Scotland
The female descendants of the Thomas de Courtenay, 5th/13th Earl of Devon
Heirs of Joan Beaufort Countess of Westmorland
Edward Plantagenet Earl of Warwick and his sister Margaret
Anne Neville Duchess of Gloucester
George Neville Duke of Bedford and his numerous sisters
Alice Neville, Baroness FitzHugh
Katherine Neville, Baroness Hastings
George Stanley heir to the Earl of Derby
Margaret Neville Countess of Oxford
Anthony Neville, Lord Grey
Richard Neville, 2nd Baron Latimer
Sir George Nevill who would become 4th and 2nd Baron Bergavenny
Ralph Greystoke, 5th Baron Greystoke
Katherine Neville Duchess of Norfolk
Henry Percy, 4th Earl of Northumberland
Henry Stafford, the 2nd Duke of Buckingham
Issue of Edward IV (through descent from Cecily Neville)
Edward Earl of Warwick and his sister
Richard Duke of Gloucester
Anne St Leger
Elizabeth Duchess of Suffolk and issue
Margaret Duchess of Burgundy