A Cumbria Police spokesman said:
"At approximately 2.40pm today emergency services were alerted to an incident at premises on Gilbert Road in Cummersdale whereby a two-year-old child had been attacked by the family dog.
"The child was conveyed to the Cumberland Infirmary in Carlisle and underwent surgery for serious facial injuries.
"The dog was removed from the premises and is currently kennelled pending an investigation into the incident by police and social services."
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A man and a woman have died, after a two-vehicle crash on the A76 around a mile north of the town.