ORLANDO, Fla. -- Cindy Anthony admitted to writing suicide notes after her granddaughter went missing in an interview with the 'Early Show' that will air Thursday morning.

"George and I are living the same nightmare, but I don't know. And I can't judge George for certain things that he's done, you know? I understand certain things. I understand his suicide attempt. A lot of people don't know. I was there too. I wrote suicide notes back in end of July and August. No one knows that," Anthony said.

Anthony said her daughter, Casey Anthony, helped her get through the tough times.

"I couldn't bear not having Caylee around and not knowing what happened to her. And I wanted, you know, I just didn't, you know, you get to a point when you miss someone so much, that you think life's not worth living," Cindy Anthony said.

In their first interview together since their granddaughter's remains were found, George and Cindy Anthony reaffirmed their belief that Casey Anthony did not kill her daughter.

The Anthonys appeared Wednesday on CBS's "Early Show," answering a wide range of questions about their daughter and granddaughter, Caylee.

Casey Anthony, 23, remains jailed on first-degree murder charges in the death of her daughter, Caylee, whose remains were discovered in December. Caylee was 2 years old when she was reported missing in July, a month after she was last seen alive.

"I don't think it's possible for my daughter to hurt anyone," George Anthony said. "She wouldn't have definitely hurt her own child."

The Anthonys were asked about their daughter facing the death penalty, a sentence that prosecutors recently announced they would pursue.

"We can't think about what's to come. She hasn't even had her trial yet. Casey's presumed innocent. We can't think about that right now," said Cindy Anthony, who added that she didn't think her daughter would accept a plea deal if offered.

The Anthonys said they are still mourning the loss of Caylee, but also supporting their daughter.

"Casey's not going to admit for something she hasn't done," Cindy Anthony said.

When asked how she could be sure her daughter was not guilty in Caylee's death, Cindy said: "We love our daughter. We know what kind of mother she was."

George Anthony also said that he didn't think his daughter would accept a plea deal.

"I don't really believe that her defensive team is going to do anything to jeopardize anything in the future for her. We're going to have to wait and see what plays out. I don't believe that's going to happen with her," George Anthony said.

The Anthonys said they're dealing with two losses.

"I think sometimes it gets lost -- that we've lost someone very close to us and we have someone else that's hurting, and we miss her dearly, too," Cindy Anthony said.

Cindy Anthony deferred to her attorney, Brad Conway, when she was asked about the 911 call she placed in July, saying the car Casey Anthony was driving smelled like a dead body had been in it. Conway said the Anthonys did not want to discuss their statements made to authorities

"She's presumed innocent. I think the truth will come out at trial," Cindy Anthony said. "The defense is going to do their job, and (the public) will be able to see for themselves there's more to it."

Cindy Anthony was also asked if she thought it was odd that Casey Anthony did not report her daughter missing.

"I don't understand what happened. I don't know what happened. I think we'll probably learn a lot more as time goes on," said Cindy Anthony, who added that Casey Anthony did not report Caylee missing because she feared for her the lives of her family.

Cindy Anthony said she had no reason to call authorities to report Caylee missing.

"Because she was with her mom. And I believed that she was with her mom and I never had a reason not to trust Casey with Caylee. Casey made Caylee her priority and it was very evident, and anybody that ever saw Casey and Caylee together knew that Caylee was No. 1 for Casey," Cindy Anthony said.

"I'm just a grandmother. There's a lot of grandmothers that don't know everything about their grandchildren. Just because she lived with me, that doesn't mean that Casey was not in charge of Caylee," Cindy Anthony said.

"There was never a red flag until July 15," said Cindy Anthony, referring to the day Caylee was reported missing.

George Anthony said he and his wife think about Caylee every day when asked about their reaction to hearing the news that Caylee's remains had been found in a wooded lot near their home.

"Sorrow. Didn't want to believe it. I still have a hard time coping with that," George Anthony said.

"This was our year to do more with her because she was getting older. You know how it is when their toddlers, and she was the perfect age to take her places," Cindy Anthony said.

George Anthony was also asked about his suicide attempt a few months ago, he said he hopes to talk to other people about the incident.

"You can never give up," he said.

Last week, Oprah Winfrey announced she would have the first interview with Anthonys, but the "The Early Show" interview aired on Wednesday and part 2 will air on Thursday. Winfrey has since canceled the interview with the Anthonys.