"Note that Pharaoh Osorkon (either the III or the IV) is said to have been known by the Greeks as 'Heracles' in Manetho's king list. It seems to be taken for granted that he wasn't the Heracles of the Greek myths, due to the pervasive idea that the stories of Heracles and the Trojan War and all that are set around the 1200s B.C.E. But there's a lot of evidence that the Trojan War actually happened closer to c. 700 B.C.E. If that's the case, then Osorkon III, who lived in the early-eighth century, could well have been the Heracles of the Greek myths. He was said to have fought Busiris of Egypt, and Busiris was supposed to have been the brother of 'Pygmalion of Cyprus'. There was a historical king of Tyre in the late-ninth, early-eighth century B.C.E. who had a degree of power over Cyprus. So he could have been the Pygmalion of the legend."
And there's this post from your 'The battle of Troy' thread: http://historum.com/ancient-history/74650-battle-troy-37.html#post2769113?postcount=367
"Well, as I just said to you on another thread, there's a lot of evidence that the Trojan War actually took place much later than commonly believed. For example, a lot of ancient writers said that Homer was either a contemporary of the Trojan War or lived very soon after it. Yet when did Homer live? No one puts his life anywhere near 1200 B.C.E. Most estimates tend to be between 800 and 650 B.C.E. I think the lower estimate is closer to the truth. See my reasons in this post: Time period of the Greek Myths?
In fact, take a look at that thread as a whole. A lot of evidence is presented there that many of the Greek myths took place around the eighth century, not the 13th. One very intriguing piece of evidence is that there was a person called Agamemnon who lived in the late eighth century. He is known in the particular record in which he appears (where his daughter married the historical king Midas of the late-eighth century) as 'Agamemnon of Cyme', Cyme being one of the Greek colonies in Anatolia. We know that the Greeks were invading and expanding into western Anatolia in that time period, and that is where Troy is. In the Iliad, it's not just the inhabitants of the city of Troy who are fighting the Greeks, but there are so many other cities and nations of Anatolia involved in the war against the Greeks. So I think that the Trojan War was simply one particularly event that occurred during that whole period of the Greeks invading and conquering that part of Anatolia. So Agamemnon of Cyme, a Greek colony relatively near Troy, of the late-eighth century, was the Agamemnon of the legend.
It also ties in with the fact that the Etruscans were meant to have migrated over to Italy from Anatolia along with the Trojans after their defeat in the Trojan War, yet Etruscan cities only start appearing in Italy in c. 700 B.C.E."
Then the discussion continues and I provide many more reasons why I think the Trojan War took place in c. 700 B.C.E., and how certain historical figures tie in with that chronology (like Osorkon). Have a read through that post and the following few pages if you've forgotten.