Two dogs, Maisie and Boston, kept going onto their neighbour's property and attacking another dog or frightening young children, Cooma Local Court heard last week.
Maisie was a female kelpie cross. Boston was a male Staffordshire bull terrier.
In a court action brought by Cooma-Monaro Shire Council, their owner - Anthony Robert Potter, 51, of Cooma - pleaded guilty to two offences of owning dogs that attacked other animals.
He was fined a total of $600 and ordered to pay prosecution costs of $1,300.
In November last year Maisie and Boston went onto their neighbour's property and starting attacking their dog, Rex, biting his hind legs, lower torso and face, while barking and growling. Rex had previously been attacked by an unknown dog, causing serious injury, requiring treatment by a vet.
But on this later occasion, the neighbours also had a new puppy, Amber, who was grabbed by children aged 11 and 13 and rushed inside the house.
Their mother took a stick to Maisie and Boston in an attempt to get them off Rex.
The dogs went onto their neighbour's property many more times - on one occasion even biting bicycle tyres while they were being ridden by children.
Evidence to the Court was that Boston had subsequently been killed by a snake. Maisie ended up in a pet minding facility. Early in 2013, Mr Potter's house burnt down.