On 20 March 1842 in Munich, Adelgunde married Archduke Francis of Austria-Este (1819–75), eldest son of Francis IV, Duke of Modena and Maria Beatrice of Savoy. The couple had only one child, Princess Anna Beatrice Theresia Maria (October 19, 1848 in Gries, Bolzano – July 8, 1849 in Modena). Francis acceded to the dukedom on his father's death in 1846 as Francis V. After the Italian Unification, Francis was deposed, and he and his wife were exiled to Vienna, where he died fifteen years later.
If Edward VII marries Anne Beatrice, it can be used to end the exclusion of the catholics in the throne as the Catholic and Protestant heirs to the British crown are united.