Elizabeth had had no choice when marriages were proposed for her; dutifully she always had to oblige, and always did fulfil her obligations. All her life she was dominated by stronger women: first her grandmother, the old Duchess of York; then her mother, hated so much by the old Duchess of York; and lastly by her mother-in-law, Margaret Beaufort, Countess of Richmond. She may have been cold 
towards her own mother, but at least she did have a friend in her mother-in-law. 
By the time of her father's death she had been through the turmoil of a Sanctuary in Westminster and been promised in marriage three times: first to Henry, Earl of Richmond, her future husband; then to 
Edward, Prince of Wales (son of King Henry VI); and lastly to the French Dauphin. 
When her uncle, King Richard III, was killed at the battle of Bosworth, the Earl of Richmond became king as Henry VII. Elizabeth's mother, Elizabeth Woodville, the Queen Dowager, and the Countess of 
Richmond had secretly agreed that she would marry Henry VII, which she did several months after his coronation. 
Seven children were dutifully born but, though faithful, Henry VII was a cold husband and father. The only time they showed feelings publicly was when they consoled each other at the death of their eldest son, Arthur, Prince of Wales. Shortly after, Elizabeth again became pregnant. On 2 February 1503, a daughter, Katherine, was born. However, only nine days later, Elizabeth died and was sincerely 
mourned by Henry VII. 

Source: Leo van de Pas