Zubeidat Tsarnaev is wanted on 2012 felony charges of shoplifting and property damage in Massachusetts, according to court officials.
The family lived there before she jumped bail, and they moved the same year to Dagestan, a semi-autonomous region of Russia, officials said.
She told Paton Walsh that she would like to travel to the United States. "I really want to see how it is going to end," she said. "I want to see my Tamerlan, if it's possible."
The felony charges weren't "a big deal" and are unimportant to her, she said.
"What I care about is only the death of my oldest son, who I think was killed, and my youngest one, who is really ... needs the support."
U.S. officials had shown her and her husband "pictures of dead body of Tamerlan," she said at the news conference. "I did not look. I could not believe it is my son."
The shoplifting arrest isn't the first time Zubeidat Tsarnaev has been eyed by U.S. authorities.
Russia raised concerns to U.S. authorities about her in 2011 at the same time they asked the United States about her son Tamerlan, several sources told CNN.
U.S. authorities added both the mother and son to the Terrorist Identities Datamart Environment, or TIDE, database -- a collection of more than a half million names maintained by the National Counterterrorism Center, an intelligence official said.
FBI agents interviewed Zubeidat Tsarnaev as part of its investigation into her son, whose case was closed after several months.
'Because they were Muslim'
On Wednesday, FBI agents were in Makhachkala -- a city that Tamerlan Tsarnaev called home for several months in 2012 -- to talk with the suspects' parents.
The conversation, which included members of Russia's federal security service, ended Wednesday evening, the suspects' mother told Saratova.
Both parents have publicly said they believe their children are innocent and were framed: "just because they were Muslim," as Zubeidat Tsarnaev put it.
When asked whether she thinks her younger son will get a fair trial, she replied, "Only Allah will know."
The Tsarnaevs are originally from the troubled Russian republic of Chechnya but fled from the brutal wars there in the 1990s. The two brothers were born in Kyrgyzstan and then lived in Dagestan and moved at different times to the United States.
The family's adopted republic has become a focus for investigators, especially given that Tamerlan Tsarnaev went there during a six-month trip to Russia last year.
On two occasions before that -- in March and late September 2011 -- Russian authorities asked U.S authorities to investigate Tamerlan Tsarnaev.
Zubeidat Tsarnaev said the FBI had visited her family "several times" in 2011 with questions about Tamerlan's "Islamic interests."
"They said that they ... just think that Tamerlan is a kind of ... little on radical side of Islam and they just don't want ... they are keeping their eye on, you know, the boys, like young boys like Tamerlan so any bombing any like explosion won't happen in America. On the streets, like on the streets."