Some information about these different guys. I was trying to find who Lucifer's mother could be...
Lucifer
In contemporary literature, even occult, the mentioning of Lucifer immediately brings to mind the concept of the Christian Devil. It is suggested that this results from a misinterpretation of Isaiah 14:12, which referred to the king of Babylon. However, a brief review of the origin of the name Lucifer shows this is also untrue. Although even in legend Lucifer retains its Latin meaning "bearer of light" or "light bearer" designating the Morning Star. Instead Christianity assigned Lucifer the position of the Prince of Darkness.
There is a legend that Lucifer means "light bringer," meaning a Morning Star god announcing daily birth of the sun. The Canaanites called him Shaher, the Hebrews Shaharit, Morning Service, still commemorating him. His twin brother, Shalem, the Evening Star, announced the daily death of the sun, speaking to him a Word of Peace, shalom. These two may be identified as the heavenly twins of the Greeks, Castor and Pollux, born of Leda's world egg. They also played a prominent role in Persian sun worship as two torch-bearers, one with an ascendant torch, the other pointing downward.
In Canaanite legend Shaher and Shalem were born of the great mother Asherah, in her world-womb aspect as Helel, "the Pit." Shaher coveted the superior glory of the sun god and attempted to usurp his throne, but was defeated and cast from the heaven like a lightening bolt.
There is a seventh century BCE scriptural account of this story of the Morning Star, which eventually became Isaiah 14:12-15. Lucifer is told, "Thou shall be brought down to hell, to the sides of the pit." The pit, here, is symbolizing, or the same as, Helel, the Mother-bride's womb. In this version Lucifer, the light-bringer, is cast from heaven by the solar sun, Christian God, because he was competing for the sexual favors of the Mother. In the Bible, the sin of Lucifer is pride, whereas, in nature, it was sexual.
The name Lucifer also appears in Aradia, or the Gospel of the Witches made famous by Charles Godfey Leland. The work is supposedly based on myths and legends of ancient Italian witchcraft. Lucifer was son and consort of Diana, goddess of the night. Their daughter is Aradia, the witch-messiah in the myth. The story is unpopular with many because of the name Lucifer, the evil Christian connotation.
In Anthroposophy, Lucifer is one of the two evil powers in the universe. He represents intellectual arrogance-the tendency to withdraw from a mental existence into a pure mental one.
As can be seen, the Christian derogatory connotation of Lucifer has crept into other belief systems. The impact is duly illustrated. Christianity emphasized the great battle between God and Lucifer, debating its brevity, and how speedily God cast Lucifer and the other fallen angels from heaven. According to Christian orthodox teaching the cause of the battle between God and Lucifer was because Lucifer, one of the most beautiful angels, refused to adore man, since man was lower than him, as God commanded. The Muslims carry this one step further saying the Lucifer loved God so much that he refused to adore anyone but him.
One fact seems to be prominent, God and Lucifer always seems to be paired even though Lucifer is often interchanged with Satan. This possibly could give rise to the brotherhood of God and Lucifer, and the rivalry; also a reason why God would put his arch enemy over the world to test, or tempt, humanity so he could constantly defeat him, a very choice position for a hated sibling.
Belzebub
Ba‘al Zəbûb is variously understood to mean "lord of Demon flies" or "lord of the (heavenly) dwelling". Originally the name of a Philistine god Beelzebub is also identified in the New Testament as Satan, the "prince of the demons". In Arabic, the name is retained as Ba‘al , literally "Lord of the flies". Biblical scholar Thomas Kelly Cheyne suggested that it might be a derogatory corruption of Ba‘al Zəbûl, "Lord of the High Place" (i.e., Heaven) or "High Lord" The word Beelzebub in rabbinical texts is a mockery of the Ba'al religion, which ancient Hebrews considered to be idol (or false God) worship. Ba'al, meaning "Lord" in Ugaritic, was used in conjunction with a descriptive name of a specific God. Jewish scholars have interpreted the title of "Lord of Flies" as the Hebrew way of calling Ba'al a pile of dung and comparing Ba'al followers to flies.
Satan
Satan (Hebrew: הַשָּׂטָן ha-Satan), "the opposer", is the title of various entities, both human and divine, who challenge the faith of humans in the Hebrew Bible. In Christianity the title became a personal name, and "Satan" changed from an accuser appointed by God to test men's faith to the chief of the rebellious fallen angels .
The original Hebrew term, satan, is a noun from a verb meaning primarily to, “obstruct, oppose”. Ha-Satan is traditionally translated as “the accuser,” or “the adversary.” The definite article “ha-”, English “the”, is used to show that this is a title bestowed on a being, versus the name of a being. Thus this being would be referred to as “the satan”
Might be useful!