CFS would not have the time,money or staff to set this up...
A facebook page takes less than 10 minutes to set up, is completely free, and only needs minimal time from a single staffer to maintain, so those excuses just don't cut it.
Someone has started a CFS Facebook page.
Facebook recently did a cunning change to it's fan/like system that allows users to 'like' any page on the internet, without it needing to be set up as a 'Facebook page' first. As part of that, they added all (or most) Wikipedia's articles to their search system, so you can search for keywords and 'like' a Wikipedia article from within Facebook. The Country Fire Service page that comes up in Facebook is just one of these Wikipedia articles, and not a Facebook page.