The mother of a woman arrested weeks after her toddler disappeared said her daughter Casey "has her reasons why she just can't blurt out the whole story," as she begged the public to help find missing Caylee Marie Anthony, 2.

"Casey has been trying to tell the police in her own way what she can tell them and the only unfortunate thing is, you know, they want a clear picture," Caylee's grandmother, Cindy Anthony, told FOX News. "There's no clear picture. Casey has her reasons why she just can't blurt out the whole story, so she's been honest with them for what she can be honest with."

Grandmother of Missing Florida Toddler Says Her Daughter Left Caylee With Someone Who Betrayed Her

"Casey has been trying to tell the police in her own way what she can tell them and the only unfortunate thing is, you know, they want a clear picture," Cindy Anthony told FOX News on Monday. "There's no clear picture. Casey has her reasons why she just can't blurt out the whole story, so she's been honest with them for what she can be honest with."

Earlier, Cindy Anthony said on NBC's "Today" Show Monday that her daughter knows who has the toddler and should be released from jail so she can assist with the search.

The grandmother of an Orlando toddler missing for more than a month said there have been two reported sightings of Caylee Marie Anthony in Georgia and she believes the child is with someone heading to Charlotte, N.C.

"We know where she's at," Cindy Anthony told FOX News Thursday before pleading with the person she believes has the child to turn back. "Please don't take her further into the mountains. It looks like she's headed northeast in Georgia close to the North Carolina border. ... This is all very encouraging right now."

Cindy Anthony discounted the decomposition testimony after she received a tip that a child matching Caylee's description had been seen at the Orlando International Airport boarding a flight to Atlanta.

Cindy Anthony said the tip was from a woman who lives in Orlando and was left on her voicemail. The grandmother said she called the woman back and they talked.

The tip was even more credible because the person reported that the little girl pronounced her last name the same way Caylee does, Casey Anthony's defense attorney Jose Baez told FOX News.

The caller claimed to have seen Caylee board the flight with an older woman. When she talked to the woman and child, the youngster apparently said her name was Caylee "Antony," pronouncing it without the "h" the way the missing child's grandparents say she does.

The caller was to meet with Orange County Sheriff's detectives to produce a composite sketch of the woman seen with the girl, according to Cindy Anthony.

The grandmother of a missing 2-year-old Florida girl told a 911 dispatcher that she wanted to press charges against her daughter for "grand theft" after she learned of the tot's disappearance, according to a new recording released Friday.

The new tape released Friday was of the very first call Cindy Anthony made to 911, which was handled by Orlando police. They then rerouted her to the Orange County Sheriff's Department, which is investigating the case. In all, Cindy Anthony had three conversations with 911 dispatchers July 15.

"I have a 22-year-old person that has, um, grand theft sitting in my auto with me," she said in the first. "My car was stolen. We've retrieved it; today we found out where it was at. We've retrieved it, I've got that. And I've got affidavits from my banking account. I want to bring her in. I want to press charges."

"My next thing will be child's thing and we'll have a court order to get her if that's what you wanna play. We'll do it and you'll never..." she said.

Casey's reply is inaudible, to which Cindy Anthony retorted: "Well, then, you have ... no, I'm not giving you another day. I've given you a month."

The grandmother told an emergency dispatcher in the third call that a car driven by Casey Anthony smelled like there had been a dead body inside.

That candid description by Cindy Anthony was echoed this week by police, but Anthony later changed her story and disputed police testimony that the car's trunk smelled of human decomposition.

The latest twists come as police and family continue their efforts to find Caylee.