Eleanor, the Queen Dowager quarreled with her daughter in a period later known as 'The Estrangement', she was unhappy as Elizabeth's leanings towards protestantism became more and more apparent. Though it was doubtful that the two could be called as close as they once were, especially once Elizabeth established the Church of England, the two somewhat reconciled in later years. Eleanor lived to see her eldest grandson married before her death, despite their estrangement Elizabeth gave her mother one of the grandest state funerals known to history. Her tomb in Westminster Abbey is far from Richard III's but close by to Elizabeth's final resting space. Among her many royal namesakes is the current Queen.
Alexander Sinclair wrote to Elizabeth even while she was married, the Queen defended their friendship privately and he was known to state that he refused any bride as long as Elizabeth lived. No one was surprised when after the mourning period was over, Alexander arrived in Greenwich to court the Queen - she married him two and a half years later and they made a happy match. Somewhat of an architect, Alexander sought to rebuild the Palace of Westminster after it was burned in the fire where Richard III was reportedly killed, it was restored and it remains the royal family's current residence.
Elizabeth's reign was a long one, she has been regarded as one of England's most well known and popular monarchs though it was not without controversy. Particularly her split from Catholicism and the forming of the Church of England after her second son with the Earl of Rutland was stillborn and her rather forceful tactics in the reclaiming of Calais. In Shakespeare and Marlowe's 'Elizabeth' she is remembered after her death as 'that excellent lady who surpassed her sex, none were ever the same and none ever shall be the same'. England's first Queen saw two of her grandchildren born before her death, her tomb remains the most popular of those residing in Westminster Abbey.
Edward, Prince of Wales succeeded his mother as Edward VI, he married Maria of Portugal at seventeen and the pair would go on to have five children together, which is of course another story entirely.