Del. Eleanor Holmes Norton (D-D.C.) thinks Iran should not be the only country to dismantle its nuclear program.
Rep. David Young (R-Iowa) missed a tax payment on his D.C. townhouse.
Both Corker and Cardin made their opening salvos in support of the legislation.
House GOP leaders denied a vote on the proposal last year.
A Cruz spokeswoman suggested a procedural vote was "the only vote that mattered."
The vote came more than 160 days after she was nominated by President Obama.
House Majority Leader McCarthy and House Minority Whip Hoyer discussed the upcoming week's agenda.
But Majority Leader Mitch McConnell (R-Ky.) said there will be debate only this week.
In a 66 to 34 vote, senators moved toward confirming her as the next attorney general.
The measure passed the House overwhelmingly by a vote of 355-63.