Updated

An Oregon mother who vanished last month was found dead Tuesday in a remote area, authorities said.

The Newberg-Dundee Police Department said in a statement that the body of Jennifer Huston was found a short distance from her vehicle in Sheridan, Oregon and there was no evidence of foul play.

“We are keeping an open mind, but we have a pretty good idea of what happened," Capt. Jeff Kosmicki of the Newberg-Dundee Police Department said in a press conference. Kosmicki declined to elaborate on what authorities believe occurred.

Authorities were alerted to Huston's SUV by the property's owner, and found Huston's body after conducting a sweep of the area near the vehicle. Kosmicki said Huston was found 50 yards or less from her SUV, and was wearing the clothes she had on when she vanished.

Police said there is not believed to be any danger posed to the public and the public should not be alarmed. Kosmicki said he was not sure how long Huston's body had been in the woods, but that the area was remote and covered by a thick canopy of trees and would have therefore been difficult to spot.

Huston's family has been notified and has asked for privacy in order to "grieve and process their loss," the statement said.

A message posted on the Facebook page dedicated to finding Huston said, "Thank you to everyone who has helped us search for Jennifer. We are grieving at this time and ask that we be given privacy."

Huston, a 38-year-old stay-at-home mom with two small children, was last seen July 24 after saying she was leaving her home to run errands.

Huston was spotted on surveillance video leaving a Circle K gas station in Newberg at approximately 6:22 p.m. Minutes later, her cellphone shut off, and police said it was not due to a dead battery.

Detectives learned that Huston withdrew a small sum of cash from the Oregon First Community Credit Union in Newberg and then purchased gas with her debit card. From there, she visited a Rite Aid pharmacy where she bought Gatorade, trail mix, and non-lethal sleeping pills. There has been no activity since on Huston's bank cards.

Kosmicki has said the last cellphone tower the phone pinged from was north of the gas station.

FoxNews.com's Cristina Corbin and Fox News' Dan Springer contributed to this report