Police said Tian told them that she had been in Los Angeles, and a federal official said authorities believe that is where she entered the country. A spokesman for U.S. Customs and Border Protection would not comment.
A social worker who met Tian in Murrow Park said Tian told her that she had been in Arlington County. The judge at Tian’s arraignment said she had been in the District for only two days before her arrest, but advocates for the homeless said they saw her in the Foggy Bottom park in winter and spring.
The administrator at Luther Park Memorial Church said Tian was known to congregants and attended Sunday services the day paint was strewn in the choir loft. Advocates for the homeless said she had been seen at various shelters, soup kitchens and churches, but administrators of those organizations refused to confirm those reports, citing privacy concerns.
Tian’s name is common in China, and little is known of her life there. Her home province has not been made public, nor have many details been published about her in the Chinese media. The Chinese Embassy in Washington did not respond to requests for interviews.
If she has had other encounters with law enforcement agencies, they weren’t reported. Officials with D.C. police, U.S. Park Police and Smithsonian security said they have no records of interactions with Tian, arrests or otherwise. Based on her behavior since her arrest, D.C. Police Chief Cathy L. Lanier said Tian may have “mental-health issues.”
Interviews with a dozen or more homeless men and women in Murrow Park revealed little about her. One man, who identified himself only as “Stretch,” said he had seen her making the rounds of downtown parks. Stretch said he was 55 and had been homeless for 15 years.
“I’ve seen her a few times,” he said after studying a photo of Tian taken during her arrest. He knew her as “Jan” and said she kept to herself, preferring to sit alone on her bench. He never talked with her.
The park is named for Edward R. Murrow, a famous journalist known, in part, for his radio broadcasts during World War II, and it is one of several Park Service sites in the District related to the war.
The park is bisected by Pennsylvania Avenue, and each triangular section has a shaded path lined with benches and surrounded by bushes, in which the homeless store their belongings. Trash bags filled with blankets and clothes, books, coolers and food were visible on a recent weekday. The men and women who call the park home said most of them live on one side of Pennsylvania Avenue or the other. They said Tian stayed on the north side.
A man who works at the World Bank, which towers over Murrow Park from its location on H Street NW, said that bank employees help maintain the park but that he had not seen Tian there.
The social worker — who works for a homeless advocacy group and spoke on the condition that she not be named because she was discussing a client — said she had encountered Tian in the park several times since winter. Tian would not give the social worker her name.
She liked to keep herself and her clothes clean; she asked, in broken English, for laundry detergent and toiletries when approached by an advocate for the homeless. She wanted everything sealed “or she wouldn’t take them,” the advocate said. She dressed in layers and preferred multicolored socks and canvas shoes with rubber soles.
“She would not discuss anything with me,” the advocate said. “She wouldn’t show her ID. She doesn’t tell anyone where she goes. All she revealed is that she had been in Virginia and she wanted stuff to do her laundry with.”
Tian sat on a bench facing north, apparently to give her the best view of the park — and to avoid people she saw approaching, the social worker and Stretch said.
“Jail is not going to help her,” the social worker said. “She has family somewhere.”
Keith L. Alexander, Trishula Patel, Lena H. Sun and William Wan in Beijing contributed to this report.