The Collaborative International Dictionary of English v.0.48:

Bib \Bib\, n. [From Bib, v., because the bib receives the
   drink that the child slavers from the mouth.]
   1. A small piece of cloth worn by children over the breast,
      to protect the clothes.
      [1913 Webster]

   2. (Zool.) An arctic fish (Gadus luscus), allied to the
      cod; -- called also pout and whiting pout.
      [1913 Webster]

   3. A bibcock.
      [1913 Webster] Bib