Who was queen elizabehs mother?

HRM Queen Elizabeth II was born HRH Princess Elizabeth of York, to HRH The Duke of York (Prince Alfred, the future King George VI) and HRH The Duchess of York (Princess Elizabeth Bowes-Lyon, the future Queen Elizabeth).

Elizabeth Bowes-Lyon did not have a regnal number [ie II, IV, etc.] as Queen because she was married to a King and was therefore Queen-Consort and not Queen in her own right, as Queen Elizabeth II is.

In our lifetimes we have known Queen Elizabeth Bowes-Lyon as HRM The Queen Mother, a title adopted for convenience and clarity (since both she and her daughter are addressed as "Her Royal Majesty" and share the same first name).

Queen Elizabeth I, the daughter of King Henry VIII, was born to Henry VIII and Anne Boleyn in 1533. Anne Boleyn was executed in 1536; Elizabeth was three.

HRM Queen Elizabeth Bowes-Lyon, The Queen Mother, was born to Lord Claude Bowes-Lyon, 14th Earl of Strathmore and Kinghorne, and Lady Cecilia Bowes-Lyon, Countess of Strathmore and Kinghorne, in 1900. She died in 2002.