had lands along the Rába near Szentgotthárd and the Mura (Mur) near the estate of the fortress of Felsőlendva (present-day Grad in Slovenia). The most ambitious and powerful member of the branch was Henry II. He entered the service of Béla IV and had gradually distanced himself from his relatives. Receiving large-scale personal land donations for his military career and loyalty, he was the founder and first member of the Kőszegi family (formerly incorrectly also called Németújvári in historiographical works), which had dominated the northwestern part of Vas County and their lands were arranged around significant fortresses, for instance Borostyánkő, Léka (today Bernstein and Lockenhaus in Austria, respectively) and the eponymous Kőszeg. Henry Kőszegi established his lordship independently of his kinship and did not rely on the clan's formerly acquired landholdings in the opposite parts of Vas County. Henry Kőszegi and his sons had become the dominant power of whole Transdanubia within decades, spreading from their paterfamilias' first acquired lands in Vas County. Héder's branch The younger brother, Héder I was granted lands in the island plain of Szigetköz in Győr County. The centre of his estates, Hédervár was named after him. It emerged into the most important settlement in Szigetköz and became the eponymous village of the influential and powerful Hédervári family. Héder's only known son was Denis I, whose person was first identified by historians Gábor Kiss and Balázs Zágorhidi Czigány (formerly Pál Engel also considered an intermediate generation between Héder and his grandchildren). During the determination of borders of the estate of Novák in 1210, Héder II (Hederic or Hedrich) was referred to as the owner of the neighboring estate, Hédervár (it is also the first mention of the village by contemporary records). Héder II served as ispán of Győr County in 1223. He had two sons, James I and Lawrence III, and a daughter, who married Pousa Bár-Kalán. In 1255, James and Lawrence successfully recovered their sister's dowry from the late Pousa's son, Nana. Lawrence had a son, Héder IV (fl. 1309) and a daughter Margaret, who married Solomon Dárói. After her husband's death, she strove to keep the estate of Déshida (today an area at Lake Deseda) in Somogy County for her daughter, Anne (wife of Stephen Gyovad) in 1309 and 1310. In the presence of her brother, Héder IV, Margaret pledged the land to the distant relative, Henry II Kőszegi, Ban of Slavonia on