You’d have to be dead not to be charmed by Beth Broderick, the star of playwright Theresa Rebeck’s solo show. As Haley Walker, a single mother from Texas looking for love in New York, Broderick is open-faced, rangy, funny, and eccentric in an endearing, very familiar way. Since Haley always talks to us while preparing for or decompressing after a date, Broderick’s main onstage activity is changing outfits–something she does in a way that’s sure to resonate with clotheshorses and the men who love them. Trouble is, Rebeck hasn’t figured out how best to tell Haley’s story, and director Judith Ivey hasn’t got the answer either. The result isn’t confusion or failure, exactly. Just a sense that what’s here isn’t quite working. –Tony Adler a Through 1/7: Tue 7:30 PM, Wed 1 and 7:30 PM, Thu 7:30 PM, Fri 8 PM, Sat 3 and 8 PM, Sun 2:30 and 7 PM, Northlight Theatre, North Shore Center for the Performing Arts, 9501 Skokie Blvd., Skokie, 847-673-6300, $38-$54.