When were the Greek myths recorded who were some people that recorded them did they believe in the myths?

There are many written accounts of the myths, but one of the oldest and most well-known is the Theogony written by Heroditus in 7th or 8th century BC. It was from here that we know of the Titanomachy and the Gigantomachy, wars fought between the Olympians and the Titans and Giants.