A woman shot to death by police outside the Capitol building in Washington after she tried to drive through barricades outside the White House held the delusional belief that the president was communicating with her, a federal law enforcement official said today.

A harrowing car chase unfolded on Thursday after the driver rammed the barricades, briefly shuttering the chambers where federal lawmakers were debating how to end a government shutdown and stirred fresh panic in a city where a gunman two weeks ago killed 12 people.

The driver, 34-year-old Miriam Carey, of Stamford, Connecticut, is believed to have travelled directly to Washington immediately before the car chase, the official said. A one-year-old girl was in the car, though she avoided serious injury and was taken into protective custody.

Investigators have been interviewing Carey's family about her mental condition, which had been deteriorating over the past 10 months, the official said. The woman had made delusional "expressions about the president in the past" and "believed there was some communications to her," and concerns about her mental health were reported in the last year to Stamford police, the official said.

Carey's mother, Idella Carey, told ABC News on Thursday night that her daughter began suffering from postnatal depression after giving birth to her daughter, Erica, in August 2012.

"A few months later, she got sick," she said. "She was depressed. ... She was hospitalised."

Idella Carey said her daughter had "no history of violence," and she didn't know why she was in Washington on Thursday. She said she thought Carey was taking Erica to a doctor's appointment in Connecticut.

Connecticut records show Carey had been a licensed dental hygienist since 2009. Records show the licence expired on Thursday.

Dr Brian Evans, a periodontist in Hamden, Connecticut, said Carey worked as a hygienist in his office for about two years before she was fired a year ago. He would not go into detail about the reasons surrounding her departure.

He said Carey had been away from the job for a period after falling down a staircase and suffering a head injury, and she learned she was pregnant during the time she was in hospital. He said it was a few weeks after she returned to the office that she was fired.

Police said there appeared to be no direct link to terrorism, and there was no indication the woman was even armed. Capitol police chief Kim Dine, whose officers have been working without pay as a result of the shutdown, called it an "isolated, singular matter."

Still, tourists, congressional staff and even some senators watched anxiously as a caravan of law enforcement vehicles chased a black Infiniti with Connecticut licence plates down Constitution Avenue outside the Capitol and as officers with high-powered firearms canvassed the area. The House of Representatives and Senate both abruptly suspended business, a lawmaker's speech cut off in mid-sentence, as the Capitol Police broadcast a message over its emergency radio system telling people to stay in place and move away from the windows.

The woman's car at one point had been surrounded by police cars and she managed to escape, careening around a traffic circle and past the north side of the Capitol. Video shot by a TV cameraman showed police pointing firearms at her car before she rammed a Secret Service vehicle and continued driving. Metropolitan Police chief Cathy Lanier said police shot and killed her a block northeast of the historic building.

In Connecticut, the FBI served a search warrant in connection with the investigation and police cordoned off an apartment building and the surrounding neighbourhood in the shoreline city.

The chain of events in Washington began when the woman sped onto a driveway leading to the White House, over a set of barricades. When the driver couldn't get through a second barrier, she spun the car in the opposite direction, flipping a Secret Service officer over the bonnet of the car as she sped away, said B.J. Campbell, a tourist from Portland, Oregon.

Then the chase began.

One Secret Service member and a 23-year veteran of the Capitol Police were injured. Officials said they are in good condition and expected to recover.

Congressman Michael McCaul, who said he was briefed by the Homeland Security Department, said he did not think the woman was armed. "There was no return fire," he said.

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