"My thought was that I would calm him down, appease him, give him like a broth, without giving him a tummy ache from eating more food," Hannah told "20/20."
When asked why she didn't get him help sooner, Hannah said, "We didn't know that there was anything major going on. We didn't realize how sick he was… If we had known that there was something more going on, we would have rushed to the hospital."
But Hannah Overton was convicted of capital murder and sentenced to life in prison in September 2007.
"I just kind of broke down," Larry Overton said. "And I just stared out a window for ... I don't know ... probably about an hour."
To find Hannah guilty, jurors had to believe either of two scenarios -- that Hannah force-fed Andrew Burd salt knowing it would kill him or that she neglected to get medical help fast enough knowing that he was dying.
All 12 jurors agreed with the second scenario, and "20/20" spoke to two of them.
"I don't believe it was her intention to, to kill him," said juror Dora Santos. "I just feel that if Andrew would have gotten help sooner he would probably be alive today."
Santos said "we'll never know" if Hannah Overton intentionally withheld medical attention from Andrew.
"I mean, she killed him because she didn't seek medical help," said juror Norma Bejarano.
Two doctors, both experts in the case -- one for the prosecution, the other for the defense -- feel Hannah Overton was wrongly convicted and spoke on camera for the first time to "20/20."
Dr. Edgar Cortes, the same pediatrician who treated Andrew at the emergency room and later consulted for the prosecution, says he always believed Andrew's death was accidental. Cortes is not being paid by the Overton defense team.
"I was stunned when I heard that [Hannah] had been given capital murder. I was just at a loss for words," Cortes said.
Cortes disagrees with the prosecution's portrayal of Andrew as perfectly healthy -- he says he saw speech and developmental problems back in 2005.
"The only physician that treated Andy while he was alive, and who was aware of the other neurological problems that he had, was me," Cortes said. "And I think that testimony might have given the jury an understanding that perhaps he was not a totally normal child."
But neither the defense nor the jury ever heard Cortes' opinions, which is the cornerstone of Hannah's appeal.
Prosecutor Sandra Eastwood says she doesn't recall Cartes expressing doubts about Hannah's intent.
"Sounds very disingenuous," Cortes told "20/20," "I was very clear from day one and very forceful as to my opinions."
Eastwood stands by her case. "I feel very confident that I did the right thing in…presenting the evidence and having her convicted," she said. She also remains convinced that Hannah Overton withheld medical treatment in an effort to kill Andrew.
"I think she was angry, enraged, with wanting to punish him and hurt him and then realized, 'Oh my gosh, I've really hurt him.'"
Dr. Michael Moritz, a leading expert on salt poisoning at children's hospital of Pittsburgh, says, "I don't think there was any evidence at all that she did this."
Hannah's defense team hired Moritz, but never put him on the stand, believing his testimony would be repetitive. Moritz believes he knows what happened to Andrew.