"They were all joy," she said.

For now, her boys are healthy and with police, "doing what kids should be doing right now -- they're playing," said Tantaksinanukij.

Nash said Saturday night that she was flying first thing to Dallas, then renting a car and driving to Austin. She doesn't know where or when she'll pick her sons up, "but we have plenty of time to figure it out."

She thanked the media for showcasing her family's story, and was taken aback by how much things changed for her and her family in a moment's notice.

"It is amazing," Nash said. "I had lost hope."