Ms. Mitchell, for example, was meant to drive a Jeep, with four-wheel drive, “because the place we were going was in the woods.” She was also meant to bring an array of supplies for the escape, including tents, sleeping bags, GPS, money, a cellphone and “fishing poles.”

Mr. Matt also asked Ms. Mitchell to “bring a shotgun that he could saw off,” she said.

The plan was to hide out somewhere six to seven hours from Dannemora “until it quieted down.” Then, after about a week, she and Mr. Sweat would continue to hide and Mr. Matt would go on his own. “I was caught up in the fantasy,” she said. “I enjoyed the attention, the feeling both of them gave me, and the thought of a different life.”

But while she said she liked Mr. Sweat, her primary affections were undoubtedly for Mr. Matt.

“Each time he would ask me for a tool, I would go to the store and get them,” she said on June 8, two days after the escape.

The statements, which were given on June 7, 8 and 10 to investigators including federal agents and the New York State Police, show the seduction of Ms. Mitchell by Mr. Matt, who had dark, rakish good looks and a charming demeanor, according to officials and Ms. Mitchell.

“Inmate Matt and I got along well,” Ms. Mitchell told investigators on June 7, just a day after he and Mr. Sweat were discovered to be missing. “We talked every day and he treated me with respect and was nice to me. He made me feel special.”

Mr. Matt and Mr. Sweat both worked in sections of the prison’s tailor shop, although Mr. Sweat had been separated from Ms. Mitchell in September after prison officials suspected “an inappropriate relationship.” She, however, denied having romantic feelings for Mr. Sweat, 35.

Image Joyce E. Mitchell Credit... Pool photo by Rob Fountain

Mr. Matt, though — who had killed two men, including his former boss, whom he dismembered — was different. In late 2013, Ms. Mitchell began doing errands for Mr. Matt, who was then 47, calling his daughter to check whether she had received a painting he had made. (He was an amateur portraitist.)