The court had heard how Mills bombarded his partner with texts and warned "I will burn your house down".
Kimberley, born 13 weeks premature, was at home for the first time after being discharged from hospital on the day of the fire.
Homeless Mills, the baby's father, was living in a tent in the front garden but had been banned from seeing the child unsupervised.
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Callum Williams of Wrexham pleaded guilty to causing grievous bodily harm to the woman police officer, assault and damaging property.
RSPCA says at first they thought the caller had confused the animal with a badger.