@www.gffg.info "I dont see a problem with 2:22. I do see a problem with the meaning of Eliezer's name, being that if he was born in Midian, the Lord had not yet delivered Moses from Pharoah. Or I just thought, which Pharoah is being referenced here. The Lord delivered Moses twice from two different? Pharoahs"
Yes, God delivered Moses from at least 2 different Pharoahs.
When Moses was born God saved him from being killed according to Pharoah's decree that all the Hebrew male babies be killed.
When Moses was grown up, and he killed an Egyptian slave driver for whipping a Hebrew slave, Pharoah sought to kill Moses, but Moses escaped to the land of Midian. This help from God is surely what the name Eliezer refers to in Exo 18:4. So Eliezer was born in Midian, pre-Exodus.
When Moses returned to Egypt as the instrument to free God's people, God tells Moses that all the people that sought your life are dead. So this was a different Pharoah. There is no indication that Moses was ever scared for his life this time with Pharoah. He was frustrated with God not delivering the Hebrews as fast as Moses expected.
Why doesn't Exo 2 mention the birth of Eliezer? We don't know for sure. God is merciful to not include every fact in the Bible, which would make it burdensome to read. I think the reason that Eliezer is not mentioned in Exo 2 is because he was not circumcised. God did not consider Eliezer part of God's people if he was not circumcised (Gen 17:14). Incidentally, Jews name their sons at their circumcisions.
If he had two sons at the time as 4:20 indicates, was the firstborn already circumsized back in Midian?
Yes, the 1st son, Gershom had already been circumcized in Midian because Zipporah circumcized only 1 son.
Why was the second son then neglected? It seems odd to neglect the second if he had already remembered to keep the strict ordinance upon his first.
Because Moses was not perfect. By the birth of his 2nd son, Moses had apparently given up on the idea that he would deliver the Hebrews from bondage. His wife Zipporah considered circumcision to be disgusting (Exo 4:25-26), and Moses maybe didn't have the energy to fight with her. At ~85 years old, he considered his useful life was about over. He probably didn't see a future for the Hebrews as a people and didn't think his son would become a part of them. But he did still have faith in God, and was thankful just to be alive in Midian.