The Jabberwocky is a creature from the wonderful but wacky mind of Lewis Carroll, the author of the well-known "Alice In Wonderland" and it's sequel "Through The Looking Glass And What Alice Found There."
The Jabberwocky, itself, may or may not be based on the local Sunderland area legend of the Lambton Worm, seeing as Lewis Carroll was writting the peom, Jabberwocky, which is one of the world's most well known nonsense peom and indeed where the fictional Jabberwocky originates form, while he was visting some relatives that lived near Sunderland. (<--- This however is not true for the first stanza, which was written years before.)

Shifting to the actual physical apperance of the Jabberwocky, different artist illustrate it differently. For example, John Tennniel's version of it (as seen on the left) depicts the Jabberwocky as a huge and monstrous beast with bat-like wings. Others, however, choose a different illustration of this amzaing best, preferring the Jabberwocky remain more dragon like in apperance.
I would like to point to you that no matter which way you like to view the Jabberwocky, it's seems that Lewis Carroll intended for the Jabberwocky to have a fierce bite (seeing as the father tells the son "the jaw that bites"), gaint or otherwise deadly claws (likewise the father says "claws that catch), and "burning eyes" ("eyes of flame").
The Jabberwocky (like the Alice Stories) has unleashed both apperances and parodies in pop culture and holds some of the qualities of legend or myth. For example, the band Fear Before has even named a song and album after Carroll's creature.
Sadly, despite it's popularity and it's appearence in one episode of the Muppet Show, the tale of the Jabberwocky ends sadly (at for the beast), seeing as it was -in the end- slayed and beheaded.