Who wrote the first greek myth?

Edith Hamilton collected and compiled summaries of the Greek and Roman (and some Norse) myths into a compact volume, Mythology. It was published in 1942 and remains a portable, standard reference among students who wish to learn the mythologies of the ancient world.

But if you think of mythology in general, nobody wrote it. Ancient people viewed the working of the world, and tried to explain that. Because of the fact, they didn't have so much experience and scientific knowledge, that we have nowdays, they tried to understand things on their level, and named every force in the nature, who became the gods and goddesses. By analyzing their world, they drew some conclusions, and guessed the circumstances. And these myths became 'scientific' tales for the ancient people.

The collective noun of myths is mythology, which describes not only the working of the nature, but answers on those type of questions why do wars exsist, why happened this and that with people, etc. Mythology doesn't have plural. It only has, if you speak about the culture of different nations. For example: Thor was the god of thunders in the Norse mythology; Zeus was the god of tunders in the Greek mythology. In these mythologies, main gods were the gods of thunders.