"You're an Internet rat, aren't you?" Broussard said she asked Weiner in an online chat, a question to which Weiner just sort of giggled.
Then, she said, the conversation got personal. "He heard her [Broussard's daughter] in the background, I think, and he said, 'Oh, is that --' and then he said her name, and I said, 'yeah, it's her birthday,' and that kind of freaked me out because you had to pilfer through my Facebook to find out her name."
After they hung up, Broussard said, she called the number back to see if it was actually him. A Weiner office receptionist answered, she said. Broussard provided a record of the call to ABC News.
Their last correspondence, she said, was through Facebook message May 27, hours before the alleged "hack" of Weiner's Twitter account occurred.
"Are you offline?" Broussard wrote at 3:37 p.m. "Crashed back up," Weiner replied at 4:21 p.m.
Broussard last sent messages via Facebook and email to the man she believed to be Weiner May 31, but never received replies.
"I don't think he's a bad guy. I think he's got issues just like everybody else," Broussard said. "Everyone's standards are different, but to be elected to Congress and sit there all day on Facebook and chatting?"
"My wife is a remarkable woman. She's not responsible for any of this, this was visited upon her," Weiner said. "She's getting back to work, and I apologize to her very deeply."
Weiner also said that he will not resign. "I don't see anything that I did that violated any rules of the House," he said. "I don't see anything that I did that certainly violated my oath of office to uphold the Constitution."
Broussard said she came forward out of concerns for her own image as an aspiring nurse, and that of her 3-year-old daughter, should her identity be leaked online. More than a dozen photos sent by Broussard to firstname.lastname@example.org and a second account she believed was Weiner's were obtained and licensed from her by ABC News.
"I have my own life, my own things where I'm from and I just wanted to go ahead with them. I thought I could just be private about it, but there's no reason for me to hide," she said. "I didn't do anything wrong. I don't know him. I'm just putting my story out there before anyone else tries to."
Broussard said she confided about her experiences with several close friends, including one with Republican political ties. The man, whom she declined to identify, encouraged her to share her story with Matt Drudge and conservative blogger Andrew Breitbart.
Breitbart, who first published details of Broussard's story on Biggovernment.com, shared her identity with ABC News.