Genealogical records were kept for all Israel; they are recorded in the Scroll of the Kings of Israel. The people of Judah were carried away to Babylon because of their unfaithfulness (1 Chronicles 9:1).
The First Book of Chronicles can be found in the #Writings section of the #Hebrew Bible, but presented as part of the historical narratives in Greek and English translations.
#1Chronicles may have been written by Ezra, but most definitely around the time of Ezra.