3:55 PM -- The first photo of Jayme has surfaced ... showing her smiling with her aunt and godmother, Jennifer Naiberg Smith. As we told you ... they were reunited this afternoon at the hospital where Jayme was being evaluated.

1:57 PM -- Officials say cops recovered a shotgun consistent with what was used at the scene of the homicide. Cops say Patterson -- who shaved his head after allegedly killing Jayme's parents to hide from cops -- shot the door open.

Cops say Patterson had a small connection to Jayme's parents -- working at the same turkey processing plant as them for one day three years ago -- and he intentionally went looking for her. Cops say it's unclear right now why Patterson targeted Jayme. Patterson will make his first court appearance Monday in Barron County court.

Officials added Jayme was reunited with her aunt at the hospital Friday afternoon. She'll be reunited with her family later this evening.

8:07 AM -- Officials have identified the kidnapper as 21-year-old Jake Thomas Patterson. He's been charged with 2 counts of first-degree homicide for the killing of Jayme's parents and 1 count of kidnapping. Patterson's being held in Barron County jail. Authorities say Jake had no criminal history and had no connection to the Closs family.

Officials say it's unclear how Jayme escaped her captor but added she perfectly described one of Patterson's vehicles, which helped cops quickly spot his car. Cops pulled Patterson over and arrested him without incident.

A 13-year-old girl who went missing 3 months ago after her parents were murdered was miraculously found alive ... and her captor is now in police custody.

Jayme Closs was found in the rural town of Gordon, Wisconsin (population less than 1,000) after escaping from a cabin and pleading with a neighbor walking her dog for help. According to reports ... Jayme was malnourished and disheveled ... wearing dirty clothes and shoes too big for her.

The dog walker then frantically knocked on a neighbor's door telling him to call 911. Minutes later, a large police presence descended on the suspect and arrested him. Authorities have not named the suspect.

Jayme was reported missing back on October 15 after her parents -- James and Denise Closs -- were found shot to death in their Barron, Wisconsin home ... about 65 miles south of where Jayme was found. Cops believe Jayme was home when her parents were murdered.

Officials say they received thousands of tips, watched dozens of surveillance videos and thousands volunteered for a massive ground search ... but she never turned up.

After calling 911, the neighbor offered Jayme food and water but she declined. She was taken to a hospital where she was evaluated and has since been reunited with family.

Elizabeth Smart -- who also escaped her captors after she was kidnapped in 2002 -- called Jayme a "brave, strong and powerful survivor." Smart added, "No matter what may unfold in her story let’s all try to remember that this young woman has SURVIVED and whatever other details may surface the most important will still remain that she is alive."