Secondly, among hundreds of little factoids, it was in the early 18th dynasty and only then, that the princes and nobles were given names ending in -moshe, meaning "born of"--thus Thutmose means, born of Thoth...
The later Israelite redactor, feigning ignorance unless he was actually ignorant, has Moses' Hebrew mother make a farfetched Hebrew folk etymology relating to "drawn forth, drawn out of" but that itself is very likely a Hebrew word whose basis is the Egyptian word for born, birth of a child...The Hebrew writer does not know, and/or does not want to tell US, what theophoric first name Moses really HAD, what Egyptian God he was supposedly "born of" IYSWIM.
In any event once Tut III was succeeded by the ineffectual Amenhotep II, this was Moses great chance: YHWH recalls him from the wilderness at age 80, tells him that the death warrant against him had expired with the king issuing it, and the fit hits the shan.