The first five books of the Bible are Genesis, Exodus, Leviticus, Numbers and Deuteronomy, and are traditionally attributed to Moses (see the articles Did Moses Write the Torah? Part 1, Part 2). Most of the events in the last four books happened during Moses' life, and he was, in fact, the key person during those events.

Exodus chapter 2 records Moses's birth, so obviously he wasn't an eyewitness to the events in...