(CNN) -- The body of their 2-year-old granddaughter, Caylee Anthony, was found in Florida in December. And their daughter, Casey Anthony, is charged in her death. She could be executed if convicted. It's a case that has gripped America.



George and Cindy Anthony, parents of murder suspect Casey Anthony, on "Larry King Live" Wednesday.



George and Cindy Anthony answered their critics in an exclusive interview on "Larry King Live" Wednesday night.



Appearing with their lawyer, Brad Conway, they talked about whether they still support their daughter completely and what their lives have been like under the media glare.



The following interview has been edited for brevity and clarity:



Larry King: We are amazed because we've received -- get this -- thousands of blog responses to your appearance here tonight. And, honestly, most of them are critical. Why do you think people are angry at you?



Cindy Anthony: Because they don't understand. They've never been in our shoes. So a lot of people, especially bloggers, ... like to pick things apart. And, you know, we're a target.



King: But what are they picking apart?



Cindy Anthony: They're picking apart the fact that we're standing behind our daughter. They're picking apart the fact that we are trying to make something out of Caylee's tragedy.



King: Do you talk to Casey a lot?



Cindy Anthony: I haven't spoken to Casey in person since October the 14th. We write.



King: Why not?



Cindy Anthony: Because every time we go to the jail to see her, it's videotaped and then it's all over "Nancy Grace" and, you know, the six o'clock news.



King: How do you explain the body being found so close to home?



Cindy Anthony: I can't explain it. I don't know if anybody can right now.  Watch how Anthonys cope with granddaughter's death, daughter's incarceration »



King: But you have thoughts, don't you, George?



George Anthony: Well, I mean there's so many things I really would like to know, but there's a lot of things I just don't know.



King: But you've got to ask.



George Anthony: I wish I had an opportunity to talk to my daughter. But, again, we don't have that chance.



King: But logically, if she's not involved, what could be said that could harm her?



Cindy Anthony: You know, people pick everything apart. If Casey cries, she's not crying enough. If she smiles at us like she did in court the first time she saw us, then she's smiling for the wrong reasons.



King: [Caylee's] body is stuffed in a laundry bag. The skull is wrapped in duct tape. Could you imagine your daughter would do that?



Cindy Anthony: No.



Attorney Brad Conway: The duct tape probably was not wrapped around the skull. We know that there was no flesh and no hair attached to the duct tape, yet that's what goes out in the media and that's what people assume to be true. And that's the unfair part: This young lady has not had her opportunity in court, yet people have drawn conclusions from discovery that's out there.



King: Cindy, the meter reader who found the body alerted the authorities as far back as August about a suspicious bag. This tip wasn't acted on. Do you think there would be any difference if the body were found earlier?



Cindy Anthony: I'm sure there would be, if she was really there back in August. I'm not convinced of that yet.



King: Are you trying to find a murderer? I mean do you have a private detective?



Cindy Anthony: We have a private investigator who's still investigating Caylee's disappearance. The defense has private investigators. And we're leaving them to their job.



King
Who will be called as a witness? What do they say the public does? Who expects they'll be called as witnesses? What does media attention prevent them from visiting? Does the public understand their situation?
George and Cindy Anthony, They're picking apart the fact that we're standing behind our daughter. They're picking apart the fact that we are trying to make something out of Caylee's tragedy. George and Cindy Anthony, the jail they don't
question: Who will be called as a witness?, answer: George and Cindy Anthony, | question: What do they say the public does?, answer: They're picking apart the fact that we're standing behind our daughter. They're picking apart the fact that we are trying to make something out of Caylee's tragedy. | question: Who expects they'll be called as witnesses?, answer: George and Cindy Anthony, | question: What does media attention prevent them from visiting?, answer: the jail | question: Does the public understand their situation?, answer: they don't