These migrant parents no longer face charges. But they say the damage is done.

It was dawn and he was fast asleep, she said. They were detained the night before in El Paso, Texas. The moment someone told her to dress him was the moment she learned that they were going to separated. He was still asleep when they put him on a truck and drove away, she said.

When she was finally able to reach him on Monday by phone in New York, she says he refused to speak to her. CNN was unable to confirm how much time had passed since their separation. But as Miriam tells it, it was long enough to make an impression on him.

"He's mad at me," she said, tears in her eyes. "He thinks that I abandoned him."

After arresting her and separating her from her son, the government withdrew charges against Miriam and released her from detention, according to an El Paso advocacy group that's helping reunite families.

Annunciation House said it interviewed 32 people including Miriam whose charges were withdrawn. They were released from detention with ankle monitors while they await immigration proceedings.

Legal Coordinator Taylor Levy released details about the 32 adults the organization interviewed:

34 -- Average age of parent

10 -- Average age of child

25 -- Average days in detention

3 -- The number of parents who have personally spoken to their children since separation

29 -- The number of parents who have not personally spoken to their children since separation

They came from three countries: El Salvador, Guatemala, Honduras.

Five of those people, including Miriam, shared their accounts in a Monday news conference organized by the faith-based charity. The adults, identified by their first names only, may no longer face criminal charges for the time being. But they say the experience has already left lasting emotional and psychological scars on them and their children.

Two of the men used the Spanish word "dañado" to describe their feelings -- damaged, broken or hurt.

"I am so dañado for what has happened to me that it is hard for me to say anything" said Melvin. It's been a month since the last time he heard or spoke to his 17-year-old son, he said.

"I asked ... please deport me with my child ... he said there was no way to do that"

Iris said it took 15 days for her to make it to the border with her son from Honduras. When she arrived, she said the first thing she was told was that she was going to be arrested and face charges.

"You are considered a criminal to the United States," she said she was told.

It was her son's sixth birthday, she said. He was with her when she learned the news. She believes he started to cry because he knew what would come next.

She asked if they could be deported together she was told no, she said. She would go to jail and he would go to a shelter. She could do it the easy way or the hard way, she said she was told.

"We are not criminals, we are just people who want an opportunity for a better life," she said. "If we were criminals we wouldn't carry our children with us."

She said her son is in Arizona but she doesn't know where. She has not been able to talk to him, she said.

"My message to the President for now is, 'I hope that God forgives you for what you have done to all the parents. This is very cruel.'"

'I came to this country in search of a better future'

Mario said his daughter turned 10 on Monday and he had hoped to spend her birthday with her. But he has been unable to reach her through the phone number authorities provided him.

He appeared before reporters on Monday with a plea for help:

"They gave us a number to call to get in touch with our children but we keep calling and no one answers. I want to take the opportunity to ask the people in charge to please contact us to let us know where our children are."

He, too, said was shocked to learn upon arriving from Honduras that he would be arrested, he said. His daughter cried and begged to stay with him, he said. He asked the officers why he would they arrest him for trying to protect her and offer her a better future.

"I told them that they shouldn't separate me from her because I came to this country in search of a better future."

'Dad, you're going to jail and I'm going I don't know where'

Christian could barely speak of his 5-yearold daughter without breaking down. He said he came from Honduras in search of a better life for her.

When officials separated them, the little girl tried to comfort her father by telling him she wouldn't be mad at him. But she also said something else that made him tear up in front of the cameras:

"Dad, you're going to jail and I'm going i don't know where," he said, quoting his daughter.

She's in Chicago now, he said, and he has spoken to her on the phone. She still maintains an understanding outlook for the future, he said.

"She said as long as we could be together, she would be happy."