Simon of Kéza wrote a chronicle in the late 13th century titled for the deeds of these people and the Huns, which he considered to be related to them. For 10 points each:
[10e] Name this ethnic group which migrated into the Carpathian basin. The Arpád dynasty was from this ethnic group.
ANSWER: Hungarians [or Magyars]
[10h] Simon of Kéza chronicled that the Arpád dynasty used this creature as a symbol in a passage about the dream of Emese. This falcon-like bird is now a symbol of Hungary.
ANSWER: turul [prompt on falcon before mention]
[10m] The story of Emese and the turul also appears in another Gesta Hungarorum named for being written under the third ruler with this name. The fourth king of this name lost to the Mongols in the Battle of Mohi.
ANSWER: Béla [accept Béla III or Béla IV]
<Benjamin McAvoy-Bickford, European History>