Answer
The answer is King of the Hill, an animated sitcom that aired on Fox from 1997 to 2010. The show follows the lives of the Hill family, consisting of Hank, Peggy, Bobby, Luanne, and their dog, Ladybird. Natalie Maines, the lead singer of the Dixie Chicks, guest-voiced a character named "Lulu" in the episode "Peggy's Gone to Pots" in 2001.