Celebrity Liz Cheney Will Likely Be Wyoming's Next Congresswoman "I'm honored by the trust Wyoming GOP voters placed in me to serve as our next congressman," Liz Cheney tweeted By Tierney McAfee Published on August 17, 2016 05:50 PM Share Tweet Pin Email Photo: David Hume Kennerly/AP Get ready for Rep. Liz Cheney. The daughter of former Vice President Dick Cheney won the GOP primary for Wyoming’s only House seat on Tuesday, defeating seven opponents to move one step closer to Capitol Hill. Cheney celebrated her win on Twitter, posting a photo of her and her father hugging. “I’m honored by the trust Wyoming GOP voters placed in me to serve as our next congressman,” she wrote. Cheney is on the path to follow in her father’s footsteps: The former vice president held Wyoming’s House seat from 1979 to 1989, when he resigned to serve as President George H.W. Bush’s Defense secretary. Cheney, a former State Department official and conservative commentator, is favored to win in the November election against one of the two hopefuls competing in Wyoming’s Democratic primary, Charlie Hardy or Ryan Greene. Cheney previously ran for Senate in Wyoming in 2014 after moving her family to the state from Virginia earlier that year. Hillary Clinton and Donald Trump: Flashback Moments, 1979 – 1992 After failing to unseat incumbent Sen. Mike Enzi, she quit the primary, citing “serious health issues” in her family.