The American socialite Alma Hayne claimed her son was the rightful heir of this dynasty based on her supposedly being the illegitimate child of one of its crown princes. In her book on a prince from this dynasty, Brigitte Hamann claims he unsuccessfully proposed a suicide pact with the actress Mizzi Kaspar. (15[1])A different prince (15[1])from this (15[1])dynasty renounced his future children’s claims to marry the non-royal (15[1])Sophie Chotek. (15[3])A prince from (15[2])this (15[1])dynasty (15[1])refused his father’s demands (15[1])to end an affair with his teenage mistress (15[2])(*) Mary Vetsera. (10[4])The Mayerling Incident (10[4])resulted (10[1])in the suicide (10[3])of this dynasty’s Crown (10[1])Prince Rudolf. (10[1])While in Sarajevo, Gavrilo Princip (10[2])assassinated another prince (10[1])from this dynasty, Archduke Franz Ferdinand. For 10 points, give this dynasty which ruled the Austro-Hungarian Empire. ■END■ (10[2])