I brought this up in the Biblical Accuracy forum under the topic
of 'Where did the Egyptians come from?'
The best Biblical answer to this question Peter, I believe is found in Gen.10. It would appear that the Egyptians would have descended from Ham. Hams sons were Cush, Mizraim, Phut, and Canaan.
Mizraim(v6,13-14: 1Chr.1:8-11), progenitor of various Egyptian tribes. "Mizraim" means "double". Tribes of the double Egypt(upper and lower Egypt), called the land of Ham came from him (Ps.78:51; 105:23-27; 106:22). The Philistines would also appear to have come through Mizraim as well(v14).
Respectfully, Paul.