I think what "ex-snook" might've been trying to say, was that the Christian church (which was considered "catholic" by the second century, by the way!)was in place before the "Bible" as we now know it, was compiled. Is this what you are trying to say, ex-snook? I don't know, but the "Bible" as we now know it, was compiled after the church was formed. At least the "New Testament" was! Because otherwise, where did we get the "New Testament"?
Parts of the "Bible" were in existence before the church was formed.("Old Testament", or source of it)But there were the "Epistles", or the letters to individuals, and communities written by Paul, Peter, John, etc., addressed to the Christian communities they visited!
Also, there were the "Gospels", the "Acts", and the "Revelations", which were written after Christ's death and resurection. All of those referred to Christ's life, and the communities of followers in his time, and after. Later on by the 2ond century, the Christian community was considered to be 'catholic', or 'universal'. Because they were in a lot of places after that!
So, I believe that the "Roman Catholic" name referring to the Roman church, may have come about as a way of telling it apart from other rites that came from it. Those being the "Syrian rite", "Mozarabic right", "Chaldean rite", "Nestorian rite", "Byzantine rite", "Coptic rite", etc., also, the various Orthodox churches(Greek, Russian, etc.)later on, (also, don't forget the "Anglican Communion"!) Now, I could be wrong on some of this, and if I am, (proof please!)I stand corrected. However, I think I'm mostly right!
Don't know if you are right as to any given specific denomination, but you are correct.