Kentucky county clerk Kim Davis, who defied federal courts on same-sex marriage and has been jailed in contempt of court since Thursday, has filed an appeal with U.S. District Judge David Bunning, who last week had remanded her into the custody of U.S. Marshals, CNN reported.

Davis made national headlines over the last few weeks due to her repeated refusal to issue marriage licenses to gay couples, who, given the Supreme Court's landmark Obergefell ruling, are entitled to be granted the documents across the nation.

In a ruling affirmed by a federate appellate court and left unchallenged by the nation's highest tribunal, Bunning had ordered the Rowan County clerk to process the licenses, but Davis refused, even after she had exhausted all of her legal options.

"While most Americans are enjoying the extended holiday weekend with family and friends, Kim Davis sits in isolation for the fourth day in jail," her attorney, Mat Staver, lamented in a statement on Sunday. "We are working through the holiday to secure Kim's freedom."

But Bunning said Davis would remain behind bars until she complies with his order, even though five of her deputies agreed on Thursday to issue marriage licenses in her absence and her office began doing so the following day. Staver told Gawker that his client had no intention to resign to end the stalemate and warned that licenses issued in Davis' absence are void without her authority.

"They aren't worth the paper they're printed on," the lawyer claimed.

The clerk's husband, Joe Davis, meanwhile, demanded that Kentucky Gov. Steve Beshear issue an executive order to remove clerks' names from the licenses, which would apparently allow his wife to grant the documents despite her religious objections.

"Hopefully, Beshear will have the guts to do his job." Joe Davis urged, aided by Staver who alleged that the clerk "is incarcerated not because of anything she's done but because of what the governor has failed to do."