Nehemiah 7:5 "The Book of the Genealogy" is a document title and should be capitalized because there is no better way (yet) to graphically represent titles.
Nehemiah 8:1 "The Book of the Law of Moses" and its shortened form in verse 3 is a document title and should be capitalized because there is no better way (yet) to graphically represent titles.
Nehemiah 8:8 "The Law of God" is a document title and should be capitalized because there is no better way (yet) to graphically represent titles. This phrasing, taken almost word-for-word from the ASV, is confusing without the designation of the specific document from which they read. So I also dropped the "in" before the "The Law of God."
Nehemiah 8:18 "The Book of the Law of God" is a document title and should be capitalized because there is no better way (yet) to graphically represent titles.
Nehemiah 9:3 "The Book of the Law of Yahweh" is a document title and should be capitalized because there is no better way (yet) to graphically represent titles.
Nehemiah 12:23 "The Book of the Annals" is a document title and should be capitalized because there is no better way (yet) to graphically represent titles.