Jah (Happy Merchant) comes from Jahweh, Bul (Frog) comes from Bel (Baal) and On (Cat) comes from comes from the Priest of On in Genesis. This was originally thought by the general public to be of Osiris. But, it has now been shown that it meant they were a priest from Heliopolis. An originally Egyptain city known as "the pillars." Once it was for Ra, then later its patron was Helios. Pillars, sun god, etc.

Helios comes from Elius/Elus, the name of the Phoenician version of Saturn. According to the Phoenician historian Sanchuniathon, his followers circumcised themselves and were called Elohim. The Greek version of Elius is Cronus but the name Elius was borrowed originally for Saturn as Helios which eventually came to be the sun. Sol, the Latin sun was also originally Saturn. Shamash, who was also called Bel as Adad (the Baal most of us know), was the Babylonian sun and both Saturn and the Sun as well.

Yah has an old man's head with a crown because he identified with El, the old king of the Canaanite gods. Bul has a frog's head because Baal was the adopted son of Dagon, who the Sumerians called Enki and the Egyptians Thoth, and was associated with frogs (Ogdoad) and fish (Apkallu). About On having the head of a cat, I don't know much other than in Gnosticism Abel was called Yahweh and had the head of a cat.

https://www.gnosis.org/naghamm/apocjn-davies.html
>Yaldabaoth raped Eve
>She bore two sons

>[Elohim was the name of the first
>Yahweh was the name of the second

>Elohim has a bear’s face
>Yahweh has a cat’s face

>One is righteous;
>One is not

>Yahweh is righteous;
>Elohim is not

>Yahweh would command fire and wind
>Elohim would command water and earth

>Yaldabaoth deceptively named the two: Cain and Abel