The woman alleges Franken touched her inappropriately in 2010 at the Minnesota State Fair.
But when Franken came along for a photo, she asserted, he "pulled me in really close, like awkward close, and as my husband took the picture, he put his hand full-fledged on my rear".
CNN said Lindsay and Jeremy Menz moved from Minnesota to Texas in 2014.
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This is the first woman to come forward and accuse Franken of groping her while he was a U.S. Senator.
Her story comes after Leeann Tweeden last week accused Franken of kissing and groping her without her consent in 2006 while the two were performing at a USO event.
Sen. Mitch McConnell said last week that the Senate Ethics Committee would launch an investigation into Franken's behavior, and he repeated this again yesterday in the wake of the new allegation by Menz.
Franken said he didn't remember taking the photo but that he felt "badly" that Menz felt disrespected. Neither, they said, is registered with a political party. Menz posted the photo of her and Franken to her Facebook profile on 27 August 2010, according to CNN.
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All of the undue attention her sticker attracted allowed local law enforcement to find out she had outstanding warrants for fraud. Fonseca added that she's been inspired by the public response. "The owner of this truck should contact the ACLU of Texas".
Franken's office said the senator didn't recall the photo, noting that he has thousands of photos taken with constituents every year.
This past weekend, SNL went after Franken during a Weekend Update segment on sexual harassment.
The "SNL" staffers acknowledged Franken's behavior writing, "What Al did was stupid and foolish, and we think it was appropriate for him to apologize to Ms. Tweeden, and to the public".
Franken said he doesn't disagree. In our experience, we know Al as a devoted and dedicated family man, a wonderful comedic performer, and an honorable public servant. Moore, unlike the others accused, has appeared to deny the allegations, although not without some equivocation. Franken had been elected to the Senate in 2008. "This is another example of why we need to change work environments and reporting practices across the nation, including in Congress".
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