The relationship between the 11-month-old baby and those arrested has not been confirmed.
It is believed the girl was not at her home address at the time of the incident.
Nobody else was injured during the attack.
A 24-year-old man and a 20-year-old woman have been arrested on suspicion of child neglect and are in police custody
An investigation is underway following the death of an eleven month old baby in Blackburn.
At 11pm last night, police were called by the ambulance service to an address on Emily Street following reports a baby had been mauled by a dog.
The child was taken to Royal Blackburn Hospital but died a short time later.
The dog has been destroyed.
Officers are continuing to carry out enquiries at the scene and investigate the circumstances of what has happened.
A 26 year old man and a 20 year old woman have both been arrested and are currently in police custody.
This is a tragic incident and specially trained officers are offering support to the wider family. A full investigation is underway.
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An actress who was bitten by a police dog after a burglary has received an apology from Scotland Yard.
Juliet Aubrey, 47, was mauled by an Alsatian when she called officers as burglars raided her London home in March 2012.
The dog handler will face misconduct proceedings over the incident.
A Scotland Yard spokesman said: "The MPS has acknowledged that the woman was let down when she called the police for help on 13 March 2012 and has offered her a formal and sincere apology. It would be inappropriate to comment further at this time, pending the outcome of the case."
Aubrey's films include Gloria Woodrow in the Constant Gardener, and she has appeared in a number of TV series such as The White Queen and Silent Witness.
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The family of Emma Bennett, who died after being attacked by two dogs in a house in Leeds, have paid tribute to the mother of four.
Her family said: “We are all very deeply upset at Emma’s death, not just because she has been taken from us so suddenly but because of the horrific circumstances and the fact she was on her own at the time she was injured.
“Emma was a mother of four and although she had had some issues in her life she loved her children. She was a lively person who had a great sense of fun but she was also strong-headed and had her own opinions.
“She was the eldest of four children and had two brothers and a sister. They were at her bedside in hospital along with her mother and grandparents when she passed away."
Police have arrested a 33-year-old man on suspicion of offences under the Dangerous Dogs Act following the death of a woman in Leeds.
It follows the death of Emma Bennett who was taken to hospital critically ill after receiving serious dog bite injuries in an incident at her home in Dawlish Avenue.
"Early indications are that the two dogs seized from the address are American pit bull terriers although tests are still ongoing to establish their exact make up. Dogs of this type are subject to restrictions under the Dangerous Dogs Act and our enquiries are focused on this aspect.
"We are continuing to appeal for anyone with information about the incident or the dogs involved in it to contact the investigation team."