# all Israel was recorded in genealogies

"The Israelites recorded all of themselves in genealogies" 

# genealogies

family records that name ancestors and descendants

# They were recorded in the book ... Israel

"They wrote the names in the book ... Israel"

# the book of the kings of Israel

This refers to a book that no longer exists.

# they were carried away in exile

"The Babylonians carried them away in exile"