Charanun Soodjinda, 38, who lives across the cul de sac from the Scheneckers, said, "They seemed like a nice family. I never thought this would happen. How could you do that to your children?"
The family moved to Tampa in 2008. Schenecker has no criminal record in Tampa, but was involved in a car crash in November of last year and cited for careless driving, the Associated Press reported.
Schenecker was originally supposed to appear in court Saturday but was taken to a Tampa hospital hours after her arrest Friday. Schenecker was treated for a previously existing medical condition and was released Sunday morning and taken to the Hillsborough County Jail.
When police first arrested Schenecker, she was seen shaking and shackled as she was led from police headquarters Friday.
"I see a woman in shock. That uncontrollable shaking is one of the symptoms of shock," Garrett, the former FBI agent, said. "You've got shock, trauma and probably very little will to live."
ABC News' Dean Schabner and Olivia Katrandjian contributed to this report, which was supplemented by Associated Press reports. ABC affiliate WFTS also contributed.