After researching on the topic for a considerable amount of time, it seems most of the sources which describe the Neo-Hittite Chimera, do not contain any myths about the creature nor any in-depth details.
Therefore, it leads me to believe what another source said (emphasis mine):
"On the orthostats at Neo-Hittite sites, the Chimaera had no narrative ...
As usual, if you remove the little-simplified version of the BBC, the story they are talking about is "the Storm God and the serpent". but first:
The Hittites are an old civilization running through the 2000 BC - 1000 BC period. They are great enough to have stopped Ramses II, potentially the most powerful pharaoh ever [You can find a ...
Thanks for the question. Very interesting search along the way to coming to the following info.
The Twelve Companions
§18. As Macqueen (1986, 58) pointed out, "The principle weapon
employed [from Hittite chariots] was the stabbing spear," but the
Hittite soldiers of the Anatolian ...