WASHINGTON, D.C.  -- With yet another woman accusing Supreme Court nominee Brett Kavanaugh of sexual harassment, North Carolina's two Republican senators are lying low.

  • North Carolina's U.S. senators have not commented on the Kavanaugh allegations.
  • Another woman has come forward accusing him of sexual harassment.
  • Democrats like one of N.C.'s U.S. House representatives, Alma Adams, want to slow Kavanaugh's confirmation process. 

Sen. Richard Burr declined to comment on new allegations, first reported by the New Yorker on Sunday. Sen. Thom Tillis's office never returned an email requesting comment.

In the New Yorker piece, a woman claims that Kavanaugh - then her classmate at Yale University - exposed himself to her during a drinking infused party.

The report comes just days after a first woman went public with her story. Speaking with The Washington Post, Christine Blasey Ford accused Kavanaugh of attempting to rape her when they were both in high school.

Kavanaugh denies both accusations. In a letter to the Senate Judiciary committee, Kavanaugh said he will not be intimidated by the accusations and plans to go forward with the Senate Judiciary hearing planned for Thursday, where Blasey Ford is scheduled to testify in front of lawmakers.

President Donald Trump is standing by his nominee. Speaking to reporters at the United Nations Monday morning, Trump called Kavanaugh an "outstanding person" and said he is with him "all the way."

Senate Majority Leader Mitch McConnell, meanwhile, said they will be moving with a vote on the Senate floor in the near future. He took aim at Democrats during a floor speech.

"Even by the far left's standards, this shameful, shameful smear campaign has hit a new low," he said.

Democrats said because there are now two accusations against the nominee, they should slow the confirmation process down. They want the FBI to step in to investigate.

"McConnell is only interested in confirming #Kavanaugh by any means necessary. He would rather shame a mother and hard-working American woman for sharing her truth than do his job to protect her & investigate this matter. This is shameful!" tweeted Rep. Alma Adams, D-NC.

Throughout the day Monday, anti-Kavanaugh protesters made their rounds on Capitol Hill. Some stopped by the offices of Republican senators whose votes could prove pivotal in determining whether Kavanaugh gets on the nation's highest bench, including Maine's Susan Collins and Arizona's Jeff Flake.

"It's incredibly traumatic and difficult to come forward, and they putting a lot at stake by doing that. And we think the fact that people have come forward means that this judge should not sit on the court," said Jenny Tumas, a law student from Kavanaugh's alma mater, Yale Law School​.