Kentucky Senator and tea party favorite Sen. Rand Paul (R) poked fun at former Vice President Dick Cheney's daughter Liz on Wednesday, accusing her of trying to carpetbag her way into a Senate seat in the state of Wyoming.

According to Politico, Paul said, "When I heard Liz Cheney was running for Senate I wondered if she was running in her home state of Virginia."

Liz Cheney has been a Beltway fixture for years emerging -- in the wake of her father and George W. Bush's catastrophic two terms in office -- as a staunch advocate for the Bush-Cheney administration and its policies. She announced Wednesday afternoon that she is running against Wyoming's current Republican Senator Mike Enzi, who Paul recently praised as a "solid conservative."

The Cheneys and Pauls have a history of enmity. In 2010, Sen. Paul's father, Rep. Ron Paul (R-TX) criticized ex-Vice President Cheney for lashing out at President Barack Obama on the subject of foreign policy.

"I think he had his eight years, and he's caused a lot of trouble for our country and perpetuated a war in Iraq unnecessary and wrong-headed," said Rep. Paul. "I would say it would be best he not be so critical right now."

Two months later, Dick Cheney endorsed Rand Paul's opponent in Kentucky.

Liz Cheney and Sen. Paul are at opposite ends of a divide opening within the ranks of the GOP. Paul believes that the U.S. needs to draw down its military presence in the world and play less of a role as the world's policeman. Cheney on the other hand, toes the Neo-Con line like her father, insisting that the U.S. military should maintain a robust military presence abroad and not hesitate to engage in conflicts overseas.