Liz Cheney has won Wyoming's Republican primary for U.S. House. Cheney beat seven challengers for a chance at the job her father, former Vice President Dick Cheney, first won 40 years ago. Her campaign focused on national security and rolling back federal regulations affecting Wyoming's beleaguered coal industry. Although Cheney emphasizes her family has deep roots in the 'Cowboy State,' those roots still aren't deep enough for Jason Gilbert, a Cheyenne insurance agent. 'I think she should have run from Virginia,' Gilbert said Tuesday outside a polling place. 'I know that she's got a name and she's got some recognition, but I don't know that there's much she's done for the state of Wyoming.'