Nancy Guthrie search enters its second week as a purported deadline looms

The search for Today show co-host Savannah Guthrie's mother is now in its second week. Over the weekendthe Guthrie family said they have received a message from the people who say they took Nancy Guthrie from her home in Arizona.

Local police and the FBI say they're following leads and sifting through evidence for any hint that might lead them to the 84-year-old Guthrie. But so farthey saythey have no suspects. And the FBI acknowledges that a ransom note sent to local media includes demands with a deadline of Monday evening.

Here are the latest events in the case and a recap of what we know so far:

Savannah Guthrie posted a new video on Monday

Savannah Guthrie posted a video to her Instagram on Monday saying"We believe our mom is still out there."

She also asked for prayers and tips regarding Nancy Guthrie's whereabouts.

"No matter where you areeven if you're far from Tucsonif you see anythingif you hear anythingif there's anything at all that seems strange to youthat you report it to law enforcement," she said. "We are at an hour of desperationand we need your help."

In a video posted Saturday afternoonSavannah Guthrie spoke directly to the people who took her mother.

"We received your message and we understand," she said. "We beg you now to return our mother to us so that we can celebrate with her."

Sitting with her older siblingsbrother Camron Guthrie and sister Annie GuthrieGuthrie went on to say that getting Nancy Guthrie back is the only way her family will have peace.

"This is very valuable to usand we will pay," she added.

Annie and Camron did not speak in the roughly 20-second video. The dire message emerged one week after Nancy Guthrie's family last saw her.

Reports of ransom noteswith a Monday deadline

Multiple reports have emerged of ransom notes being sent to local media.

One stationKGUNsaid it received a ransom note that demanded $6 million by Monday evening. The station says it shared the message with law enforcement.

Police have not publicly confirmed details about any ransom demandssaying that they are pursuing all potential leads in the case.

The FBIwhich is working with the local sheriff's department on the casesays the question of whether to pay a ransom is up to the Guthries.

"While we advise and recommend from a law enforcement perspectiveany action taken on any ransom is ultimately decided by the family," said Heith JankeFBI special agent in charge of the bureau's Phoenix office.

A ransom note often includes proof that the sender is responsible for an abduction and that the person taken remains alive. But in this caseboth the Guthrie family and the FBI have discussed how AI's ability to generate convincing but bogus videos complicates the idea of a proof-of-life message.

"We too have heard the reports about a ransom letter in the media," Savannah Guthrie said via Instagram last week. She added"We are ready to talk. Howeverwe live in a world where voices and images are easily manipulated.

"We need to know without a doubt that she is alive and that you have her."

Nancy Guthrie disappeared two weekends ago

On SaturdayJan. 31Nancy Guthrie had what appeared to be a routine night. A grandmother who lives alone in the Catalina Foothills areashe left her home north of Tucsonate dinner and played games with relativesand then returned home around 9:50 p.m.according to local police.

But then Guthrie didn't show up for church Sunday morning. Her family tried to check on Guthrie; then they called 911. That set off a massive searchusing tracking dogsdrones and helicopters.

At Nancy Guthrie's housepolice found drops of her blood on the front porch.

Presenting a timeline based on electronic records at Guthrie's homePima County Sheriff Chris Nanos said the front doorbell camera was disconnected at 1:47 a.m. Sunday morning. He also said that at 2:12 a.m. software detected a person on the camera — but the system continuously rewrites over its recordingsleaving investigators without footage.

"But we're not giving up on that," Nanos added.

Guthrie's pacemaker disconnected from a phone app at around 2:30 in the morningNanos said. When she was takenher walletcellphone and other personal effects were left behindaccording to police.

Nancy Guthrie has limited mobility. And her family says she also needs daily medication to survive.

Police report no breakthroughs in the case

On Sundaythe Pima County Sheriff's Department put out an update essentially saying it's still working to find Nancy Guthrie. It came as investigators were repeatedly seen working in and around her house.

But the sheriff's department also said that it hasn't identified any suspectspeople of interest or vehicles that might be connected to this case.

The FBI has posted a reward of up to $50,000 for information leading to Nancy Guthrie or to the arrest and conviction of anyone involved in her disappearance.

In all three of the video messages that the Guthrie family has put out since this startedtheir captions end with the same plea. It reads"Bring her home."