8:3a of the descendants of Shecaniah;

He was from the family of Shecaniah.
-or-
Shecaniah was his father.

8:2b–3a (reordered)

Hattush, son of Shecaniah, was from the clan of David.

8:3b from the descendants of Parosh, Zechariah, and with him were registered 150 men;

Zechariah was from the clan of Parosh. One hundred and fifty (150) men were with him who have proof of their descent/ancestry.
-or-
Zechariah was ⌊the head/chief of an extended family⌋ that descended from Parosh. There were one hundred and fifty men with him whose lineage was recorded/written in a book.
-or-
From/of those whose ancestor was Parosh, Zechariah came/returned together with 150 men, all who had records of their family line/history.

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