The traditional Egyptian timeline wants to place the events of the Exodus in the time of the 19th Dynasty (1295-1186 BC). Ramesses II reigned from 1279 to 1213 BC. This would place the Exodus somewhere around 1260BC according to accepted Egyptian chronology... but there is no mention of it or the antecedant plagues in the Egyptian record or other contemporary records of the time... hence a major problem. For some reason, modern archaeologists have chosen to equate this with a problem with the history reported in the Bible rather than question their "house of counterfeit cards" constructed Egyptian timeline based on three pillars, two of which are built on assumptions that are very shaky.
The revised timeline, which has many more points of agreement between events in Egyptian history, events in Biblical narratives, and other contemporary records, would place the birth of Moses in 1527 BC, his escape to the wilderness at age 40 in 1487 BC, and the events of the Exodus somewhere around 1460-1450 BC. This places the Exodus events solidly in the 13th Dynasty... with Pharoah Neferhotep I becoming Moses' (who was probably actually named Ra-MaSeS... hmmmm) Step Father, and Merris, his adoptive mother. Merris would also later become Moses' Step Sister-in-Law when she married her brother (and Moses's Step brother) Khaneferre, who became Pharoah Sobekhotep IV, the Pharoah whose heart would be hardened by God so many times as he bargained with his erstwhile step-brother, Moses, for the freedom of the Israelites.
Looks like about 200 years earlier than current timeline. This would be like wondering why the impeachment of Clinton is not mentioned in the minutes of the 1798-1799 Congress.