In what city does the second murder occur in the novel, The A.B.C. Murders?

Bexhill is the second place where someone is murdered, and this time it is Betty Barnard who is killed. This place plays an important role, not only in the beginning of the story, but also, at the end of the story, when Cust seems to have an alibi that would suggest that he was not at the scene of the crime for this murder. Poirot brings the Special Legion here so that they can go over the murder.