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Cheney's Palin critique prompts response from his daughter

Sarah Palin, the GOP candidate for vice-president in 2008, and former Alaska governor in Washington, Saturday, Feb. 11, 2012. AP Photo/J. Scott Applewhite

(CBS News) After former Vice President Dick Cheney criticized the choice of Sarah Palin to be John McCain's running mate in 2008, both McCain and the former vice president's daughter, Liz Cheney, publicly came to Palin's defense.

Sunday evening, Liz Cheney - an infrequent Twitter user, wrote on Twitter that Palin is "more qualified" than both President Obama and Vice President Biden.

The family disagreement came after her father, the former vice president, said Sunday on ABC News' "This Week", "I like Gov. Palin. I've met her. I know her. She - an attractive candidate. But based on her background, she'd only been governor for, what, two years. I don't think she passed that test ... of being ready to take over. And I think that was a mistake."

Cheney's daughter, who has become a fixture on Fox News, is not the only one to push back. McCain defended his choice as running mate Monday morning on "Fox and Friends" saying he's "always glad to get comments four years later," adding that he's "proud of the job she did" and "proud of the job she continues to do."

McCain added that this is not the first time he's disagreed with Cheney. "I respect the vice president. He and I had strong disagreements as to whether we should torture people or not."