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.
More top news
Missed tonight's Wales at Six? Catch up here.
Not a pleasant night with heavy showers for much of Wales.