Jayme's aunt, Jennifer Smith, posted on Facebook Saturday that Jayme was doing well.
Closs was expected to meet with other family members on Friday evening.
Barron County Sheriff Chris Fitzgerald said at a news conference on Friday morning that Mr Patterson, who is unemployed, has no criminal history in the state of Wisconsin.
"But really Jayme is the hero here". She had been placed on the FBI's Missing Person's list on October 15 and was considered "endangered".
"She said that this person's name was Jake Patterson, 'he killed my parents and took me,"' said another neighbor, Kristin Kasinskas.
"We're running on Jayme's time right now", he said.
"There is a reunification process in place going on right now that includes medical mental evaluation, questioning by detectives and Federal Bureau of Investigation agents, and then reunification with family".
Closs spoke to investigators on Friday after spending a night in the hospital for evaluation.
Wisconsin police have charged a 21-year-old man with murdering a 13-year-old girl's parents last October so he could abduct her.
"I know all of you are searching for the answer why any of this happened", Fitzgerald said. "That's the million-dollar question, is why".
There was no sign of Jayme, nor of a suspect or murder weapon. At some point on Thursday, she escaped the home on foot and found her way to safety.
Nutter said Closs appeared traumatized but in good physical condition, wearing an oversized sweatshirt and large shoes that were clearly not her own.
Erik once lived in the same rural cabin in Gordon, Wisconsin where Jayme was held captive. I don't know where I am!
"She was crying when I first met her, but once I grabbed hold of her and held her as she walked, then she was calm", she said. A description Jayme provided led to his arrest a short time later.
Fitzgerald said that amid pressure to find out what happened, investigators are letting Jayme decide when she wants to talk.
Authorities believe Patterson went to the Closs home intending to kidnap Jayme.
Barron, a town of less than 3 square miles, has a population of about 3,300, according to US Census figures. She lives with her husband in Eau Claire, Wis., about 110 miles north from where she spotted Closs.
Attorneys for Patterson called the affair "a very tragic situation" and said they were relying on the court system to treat him fairly.
Closs encountered Nutter near the town of Gordon and said she was lost.
Debra Tuders' daughter, Tabitha, was also 13 when she disappeared while walking to her bus stop in Nashville on April 29, 2003.
Fitzgerald says authorities don't know of any social media connection between Patterson and the girl. He worked for one day in 2016 at the same Jennie-O turkey plant in Barron as Jayme's parents.
Despite Erik Patterson's criminal record, few across the township seem to have heard of his family. A suspect - 21-year-old Jake Thomas Patterson - is in custody and is due in court on Monday.
While authorities are still trying to determine the motive behind the kidnapping, more details about Patterson have emerged.
Police ruled Denise and James' deaths homicide, and appealed for help finding Jayme.
"What a great feeling to have her home". We had too much love and support around us for us to give up, ' her aunt said.
"I thought, 'Good for her she escaped, '" he said.
The girl appeared unkempt and thinner than in photos publicly released, Kasinskas said.
"She looked. kind of in rough shape. I think she was doing OK despite the circumstances", she said. Police said Patterson had ties to Barron but did not elaborate.