Speculation. The bible does not allude to that or say that. God spent a few months Personally chatting to Moses one time, and we know God often spoke to Moses also. There is no reason to invoke some supposed other records.
How things were passed pre flood may not have involved written records. For all we know there may have been no need to write in the former nature before the tower of Babel, when men could no longer understand each other. Some of the earliest civilizations post flood had to draw pictures and that sort of thing, and written language came later.
So, yes Noah and his family knew about Adam and the history, but not as far as we know because anything was written down.
What is speculation is to say that the primitive Egyptians who forgot about Joseph in short order somehow recalled the history of Joseph's ancestors.
Also, it is clear that the Jews had a written language early on. The size and scope of the construction of Noah's Ark illustrates that Noah was not some sort of primitive person. Going back even more, Cain built an entire city: Enoch, Nod. So early man was quite competent. It does not matter whether or not Noah passed down a written history or an oral history, but it is clear that the information was given to Abraham and thus to Moses. Other than Moses, it seems unlikely than any other Hebrew slave would have received an Egyptian education. As you know, Joseph left word that this bones were to be exhumed from Egypt and carried back to the promised land:
Genesis 50:25 (KJV) And Joseph took an oath of the children of Israel, saying, God will surely visit you, and ye shall carry up my bones from hence.