The child, believed to be aged either two or three, was discovered outside an address in Warwick Road in Carlisle, Cumbria, at about 11pm.
A 42-year-old woman from Carlisle has been arrested on suspicion of child neglect, said Cumbria Constabulary.
Girl found abandoned in pram in Carlisle
Police have traced the mother of a young girl who was found abandoned in a pram outside a house late yesterday.