Casey Anthony Hopes To ‘Someday Redeem Herself’

A week after her psychological treatment began, Casey Anthony is doing “well,” according to a source close to her, who adds, “She hopes she will someday redeem herself and live a productive life.”

The public, meanwhile, may get to see another side of the infamous Florida resident. In court on Wednesday, a media organization argued for the release of a jailhouse video of Casey watching TV news reports saying police found remains, which turned out to be her missing daughter, 2-year-old Caylee.

According to detectives, Anthony doubled over and hyperventilated before asking for a sedative in the video.

Her reaction is striking because the remains had not yet been identified. Did she know the remains belonged to Caylee?

The tape was sealed by a judge in 2009, after he said it would be “inflammatory” and prejudicial to a jury. Now that the trial is over – and Anthony has been acquitted of murder – several media outlets say that the video should become public record.

Judge Perry is expected to rule on the matter this week.

For more on Casey Anthony’s true-crime drama, based on PEOPLE’s unparalleled access at key moments of the case, buy PEOPLE’s book Outrage, available now at people.com/caseyanthony