They discussed a Tennessee school board's banning of a novel.
When I read the sentence, "the banning of a novel" did not sound right to me. I am not quite sure whether or not we need "of" after "banning", because we simply can say "banning a novel". We would not say "banning of a novel"
So, in my opinion the sentence should have been like this: They discussed a Tennessee school board's banning a novel. (There is no "of")
Without "of" the sentence seems more grammatical, doesn't it?
However, I am not native, so I am not 100% sure about my conclusion. Is it "banning of something", or "banning something?"