The Greek background of bibliography concerned copying books. Its components combine a book with writing. The later English uses include lists of works and the study of books, so a scholarly reference list retains an older book-making connection.
This view explains the components. They are pieces of one construction, not consecutive borrowing stages.
Sources
- Merriam-Webster · bibliography
Formation of the word.
- Merriam-Webster · biblio-
Meaning and history of this component.