Liz Cheney during a 2010 appearance on the CBS news program Face the Nation. Chris Usher/CBS/Landov hide caption toggle caption Chris Usher/CBS/Landov The Two-Way Liz Cheney Drops Senate Bid Due To Family 'Health Issues' January 6, 2014 • The former vice president's daughter split Republicans in Wyoming with her challenge to a fellow conservative, Sen. Mike Enzi. She also sparked a public family feud with her opposition to same-sex marriage.
