A Fox spokeswoman in New York confirmed to us yesterday that Kim Carrigan is on her way out at Fox 25. “Kim Carrigan’s contract has not been renewed,’’ was the statement, sent via e-mail from Fox media relations manager Claudia Russo. No word on Carrigan’s last day. She’s been a Morning News cohost since 2004, according to the station’s website.Read the Names blog at www.boston.com/namesblog. Names can be reached at email@example.com or at 617-929-8253.