Moses' parents, Amram and Jochebed, marry and he is born. He's placed in a tiny "ark" followed by his sister, Miriam, and recovered by Pharaoh's daughter who allows Jochebed to nurse him until he's old enough to be weaned. He grows up, kills an Egyptian who was beating a Hebrew brother but the incident had witnesses so Moses runs off to Midian where he marries Zipporah and begins a family with Gershom, his firstborn.
All of this is just the BASIC information found in our study of Exodus chapter 2, through verse 22.
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