From Wikipedia
http://en.wikipedia.org/wiki/Mizraim
Mizraim (Hebrew: ????????? / ?????????, Standard Mitzráyim Tiberian Mi?rayim / Mi?ráyim ; cf. Arabic???, Mi?r) is the Hebrew name for the land of Egypt, with the dual suffix -ayim, perhaps referring to the "two Egypts": Upper Egypt and Lower Egypt.
Ugaritic inscriptions refer to Egypt as Msrm, in the Amar-tablets it is called Misri and Assyrian and Babylonian records called Egypt Musur and Musri. The official name of Egypt today is Jumhuriyah Misr al-'Arabiyah - The Arabic Republic of Egypt.
Mizraim was the brother of Cush who, together along with Phut and Canaan, made up the Hamite branch of Noah's descendants. Mizraim's sons were Ludim, Anamim, Lehabim, Naphtuhim, Pathrusim, Casluhim (out of whom came the Philistines), and Caphtorim. In order for Mizraim's name to have any meaning, Egypt must have already been founded (and also divided into Upper and Lower Egypt). He has been compared to King Menes, who reunited the lands as one Egypt.
According to the Mormon Book of Abraham Egyptus, sister to Mizraim founded Egypt, and became mother to Pharaoh, who set up its first government. Thus, theoretically Egyptus would have been older than Mizraim. Mizraim may have been father to Pharaoh or uncle to him, and Mizraim easily could have been a ruler of Egypt, mainly due to the longevity of Biblical lifespans.
Some, who see similarities between the Egyptian god Asar's name and story and those of the eastern Asshur, say that this cannot be so, and instead suggest a possible Mesopotamian origin for Mizraim, whose name they derive from Ma-Asar ("From Assur"). However, others think it more likely that Mizraim is a form of the word Misr meaning "land", and was translated literally into Ancient Egyptian as Ta-Wy (the Two Lands) by early pharaohs at Thebes, who later founded the Middle Kingdom. In Judaism, Mitzrayim has been connected with the word meitzar, meaning being a prisoner. [citation needed]
It has been suggested in New Age circles that, opposing assimilation into Kush, a certain Meskiagkasher left Kish for the lands of his cousin Asshur where the Uruk-Nimrod dynasty was born, before moving with his followers "from Asshur" to establish his own land in the Nile valley.