So why did they name in "Noah", then?
That’s “Hollywood” for you (or the secular movie industry).
This first paragraph of the article says it all ...
“The pre-release advertising promoting the movie Noah made a point of stating that while the director took artistic license in the production it was still faithful to the biblical story. Early theater previews were carefully edited to appeal to people of faith, but this is the least biblical “biblical film” of all time!”
They don’t care about what the Bible says ... they only care about the “dollars” they get by saying the word “Noah” and fooling all those poor people!