Now that it has settled its dispute with Fox Broadcasting, Time Warner Cable can turn its attention to other vexing matters -- like finding a new name for itself. According to the Dow Jones news service, the company's effort to rename itself is known internally as Project Mercury and is aimed at setting itself apart from its former parent, Time Warner Inc., which spun off the cable company last March. Dow Jones said that Time Warner Cable had planned to announce a new name in the second half of this year but has pushed back that target.