Part of the reason you may be finding blocks in your research is because Mykonos is where Zeus fought the Gigantes - the Gigantomachia occurred after the Titanomachia (better known as the Battle of the Titans). To find more about how Mykonos ties into your paper's focus, try looking up "Zeus and the Gigantes", "Gigantomachia" and "Gigantomachy."
As far as the Titanomachia goes, there is a large wealth of knowledge available, as it's an important story in the Greek and Roman Creation Myth. Along with Edith Hamilton's
Mythology, you can try
Bulfinch's Mythology by Thomas Bulfinch and
Myths of the Greeks and Romans by Michael Grant.
Online sources might include Wikipedia (
not for your primary source, but to find links to good primary sources), The Encyclopedia Mythica (
http://www.pantheon.org/) and The Theogony of Hesiod at the Internet Sacred Text Archive (
http://www.sacred-texts.com/cla/hesiod/theogony.htm). There are also other works that may be helpful in the Classics area of the ISTA:
http://www.sacred-texts.com/cla/index.htm.
I hope that helps you out.