Jethro (in Hebrew, Yitro).As was often the practice in ancient times, he had more than one name.
See also:
http://www.whoreallywrotethebible.com/excerpts/chapter4-1.php
http://www.pearlmancta.com/BiblicalcriticswrongRShlomoCohen.htm
And see also the wider picture:
http://judaism.answers.com/hebrew/does-archaeology-support-the-hebrew-bible
Jethro was the father of Moses' wife (Exodus ch.2 and ch.18).See also:more about Moses
Moses' father's name was Amram, and his mother's name was Jochebed.
The name of Moses wife was Ziporrah.
Moses wifes name was Zipporah.
Moses was in Egypt, his wife and children might have been there or with Moses' father in law.
Moses did not have a "stepfather-in-law" since his wife, Zipporah, never had a stepfather. Moses' father-in-law was Jethro.
God was involved, Moses' Hebrew brother Aaron, his Hebrew sister Miriam, and his Hebrew mother Yochebed, Pharaoh (his Egyptian father), his Egyptian mother (Pharaoh's wife - name is not mentioned, Rameses (his Egyptian brother) Tzipporah (his wife) Moses's 2 children (boys) Jethro (his father in - law)
He was called Arman. Exod 6 (v.20) And Amram took him Jochebed his father's sister to wife; and she bare him Aaron and Moses: and the years of the life of Amram were an hundred and thirty and seven years.
The name of the wife of Moses is Zipporah , she was the daughter of Jethro. and this can be found in the book of Exodus chapter 2 verse21.
Exodus 6:20 (ESV) - Amram took as his wife Jochebed his father's sister, and she bore him Aaron and Moses, the years of the life of Amram being 137 years.
the pharaohs wife i forgot her name but Moses real moms name was Jochebed
Jochebed Exodus 6:20 And Amram took him Jochebed his father's sister to wife; and she bare him Aaron and Moses: and the years of the life of Amram were an hundred and thirty and seven years. Numbers 26:59 And the name of Amram's wife was Jochebed, the daughter of Levi, whom her mother bare to Levi in Egypt: and she bare unto Amram Aaron and Moses, and Miriam their sister.