"We are surprised that Ms Burnett, who has made a career of spoofing others on television, would go so far as to sue Family Guy for a simple bit of comedy."

So said a 20th Century Fox, the producer of Family Guy, spokesperson when asked about the issue.

Carol Burnett, star of the hit show The Carol Burnett Show which ran through the sixties and seventies, is now suing Family Guy for amounts totaling 2 million dollars after the creators of Family Guy created what is believed to be a comedic representation of her character, with a modified version of her music playing in the background. She maintains that the use of her character disparages her publicity rights.

She also maintains that, after she rejected allowing them to use her show directly, they edited the script to make fun of her ear tug ending for her show.

[Source][Source]