I discovered this the other day - the oldest library ever was in Syria, Ebla - between 2500 and 2250 B.C. The Earliest version of the Great Flood was held in the Nippur temple library in Iraq, Noah's world map below.
Here are two photos of the libraries at Alexandria - the ancient and the new. The ancient library also held the private Library of Aristotle. As well as this the library was supposed to have held over 400,000 manuscripts and, founded by Ptolomy in 295 B.C. it was considered the leading intellectual arena of the Hellenistic world