Pope -- that song about the Bible was something like "The Bible -- A Book for all Mankind". There were 2 songs about Jesus Christ that I remember. One was always played at the end of the annual Memorial called "Hail Jehovah's Firstborn". The other was towards the end of the song book, called "Christ our Exemplar".
It's sick that I can remember about all those songs -- but I played the piano at the hall and so had all those titles and lyrics drilled into my head.
Why some songs are picked more often than others ?? -- Out of the 6 songs sung weekly by the congregation, 5 are scheduled in the Watchtower magazine or in "Our Kingdom Ministry". The only one that is variable is the one that the visiting speaker picks prior to the Public Talk. So again the WT Society picks the favorite songs.