Republican National Committee (RNC) Chairwoman Ronna Romney McDaniel reportedly dropped the use of "Romney" in her name professionally after President Trump Donald John TrumpObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE joked about it.

Trump joked with the chairwoman and her husband about dropping her surname, according to a New York Times report on Saturday.

"You know the job you’re signing up for," McDaniel told the newspaper about her move to assume leadership of the national party committee.

McDaniel shares the name with her uncle and former GOP presidential nominee Mitt Romney Willard (Mitt) Mitt RomneySenate Republicans face tough decision on replacing Ginsburg McConnell says Trump nominee to replace Ginsburg will get Senate vote GOP-led panel to hear from former official who said Burisma was not a factor in US policy MORE, a critic of Trump during the 2016 campaign who is viewed as a likely Senate candidate in Utah following the retirement of Sen. Orrin Hatch Orrin Grant HatchBottom line Bottom line Senate GOP divided over whether they'd fill Supreme Court vacancy MORE (R-Utah).

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Trump picked McDaniel, who spearheaded Republican efforts to win her native Michigan, to head the national party in December 2016, becoming the second woman to ever hold the position. Trump has referred to McDaniel as "my Romney," the Times reported.

Romney in the Senate could bring new challenges to Trump's influence in the chamber, where he already faces nearly united opposition from Senate Democrats and several prominent Republican critics.

Still, several GOP senators are urging Romney to run for Hatch's seat.