The Parian Chronicle or Marmor Parium is inscribed on a stele made of high quality semi-translucent marble found on the Aegean island of Paros, which was greatly prized throughout the Hellenic world during the 1st millennium BC. Two sections were found on the island in the 17th century while a final third section was found there in 1897.
This important register recounts the history of Greece in chronological sequence from 1581 BC until 264 BC and it is reasonably assumed that the latter date was the year it was written.
The first king of Athens is noted on the stele as the mythical Cecrops commencing 1582 BC. This is important as Cecrops is also mentioned by Plato in the Atlantis texts (Critias 110a). This date is far more realistic than the 9,600 BC told to Solon by the Egyptian priests as the time of Athens foundation. The Parian Chronicle seems to have been given little attention regarding the Atlantis mystery.
Another name mention on the stele and by Plato is that of Deucalion. While there is some debate regarding the exact date of the deluge named after him, all commentators agree that it occurred in the middle of the 2nd millennium BC. J.G. Bennett(b) has calculated the date this Flood to around 1478 BC, while Britannica(c) offers 1529 BC.
A further item of interest is the date ascribed to the Trojan War as 1218 BC, but again some controversy surrounds this precise date. While there are a number of flawed details in the Parian Chronicle(d), probably due to the use of defective sources or perhaps transcription errors, the very specificity of the recorded dates strongly suggests that it was produced in order to offer a real historical record not merely to recount Greek mythology.
I believe that the full implication of the inscriptions for the Atlantis debate has yet to be realised.
An English translation of the Parian Marble is available on the Internet(a).
(a) http://www.attalus.org/translate/chronicles.html#239.0
(b) http://www.matrixofcreation.co.uk/php/JGB/systematics-vol1-no2-127-156.htm#9
(c) http://www.libraryindex.com/encyclopedia/pages/cpxktwkjsf/parian-chronicle-athens-archonship.html
(d) http://www.historykb.com/Uwe/Forum.aspx/ancient/2237/The-Parian-Marble-Chronology