"The person that drowned those children is not Andrea," said Yates.
"If she received the medical treatment that she deserved then the kids would be alive and well," he said.
Perhaps also violating the gag order, Harris County District Attorney Chuck Rosenthal also appeared on the show and discussed why he thought seeking the death penalty is appropriate for Andrea Yates.
"Five dead children who were, who were, we allege killed by the person who loved them most in this world," said Rosenthal.
While Andrea Yates' attorney refuses comment on the case, reports CBS News Correspondent Bob McNamara, both Yates and Rosenthal could face up to six months in jail and up to a $500 fine for contempt of court by granting the interviews.
But so far, Judge Hill has been publicly silent.
"She may decide, for example, that putting Russell Yates in jail for a couple of days to teach him a lesson or even fining him will create such a public notice that it will affect the jury pool much more than the broadcast did," offered CBS News Legal Analyst Andrew Cohen.
In part, legal analysts say Sunday night's broadcast my have been a trial preview a jury having to decide if Andrea Yates was a victim of incompetent psychiatric care or whether she was a cold-blooded killer.
Jury selection is scheduled to begin Jan. 7 and if convicted, she could be sentenced to death.
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