Is "diary paper" a correct combination?

When I thumbed my diary paper, saving the baby from the destructive fire came into my sight.

Do you think the bold part is natural? I believe it should be either "daily paper" or "diary pages".

(I have also searched Corpus. There is no occurrence for "diary paper".)

If I were a writer, I would say: "While I thumbed through my diary" or "While reviewing my diary".

Source: A mock exam held in Iran