Elianna, even though it might get a little confusing from looking around on this site, The Red Book of Westmarch was only a semi-fictitious, quasi-real reference made by Tolkien. Supposedly the Book contains the Hobbit and the Lord of the Rings, and later writings by Samwise and his daughter Elanor (Appendices, LoTR).
The source of the Silmarillion was not the Red Book, as the Red Book was some sort of reference (to a book Tolkien somehow found, perhaps? and published the stories?) that he made. The Silm was the collection of stories, edited, that had a creational twist. It doesn't come from the Red Book, which was all about Hobbits.
Whether the Red Book in Middle-Earth had any poems like the ones Tolkien gave us is up to speculation.
Hope that answers your question.
bilbo_baggins
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"For with much wisdom comes much sorrow, and with more knowledge comes more grief."
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