Was Eily the Kohen Gadol a descendent from Pinchas & which family of Aaron merited the High priesthood, Elazar or Itamar?

Eily Hakohen was a descendent of Itamar, the brother of Elazar, the father of Pinchas.[1] Initially, the High priesthood was given to Elazar and his descendent Pinchas who served as the high priest all the way through the end of the era of the Shoftim.[2] As a result of the terrible Civil War that occurred in the era of Pilegesh Bigiva, as well as due to that Pinchas refused to remove the vow from Yiftach, Hashem revoked the High priesthood from him and gave it to his student Eily Hakohen, who was a descendent from his [i.e. Pinchas] uncle Itamar, the son of Aaron the brother of Elazar.[3] The high priesthood remained with the descendants of Eily, and Itamar, until the first Temple era when it was taken from Avyasar and given back to Tzadok who was a descendent of Pinchas. This was a result of the sin of the sons of Eily, and was one of the punishments given that the High priesthood would and from his family.[4]

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[1] Rashi 2:30 in  name of Midrash Shmuel; Divrei Hayamim 24:3 that Achimelech was from Itamar, and Achimelech was from Eily [See Shmuel 1 14:2

[2] See Shoftim Chapter 20 “Pinchas, the son of Elazar, the son of Aaron Hakohen, was the priest who served before the Aron in those times”

[3] Rashi Shmuel 1 2:30; Tana Dvei Eliyahu Raba 11

[4] Rashi 2:30