Your statement here tells me you didn't tell us the whole story...you'd make a good reporter for one of the large networks, LOL.
I think we'd need to know more of the story to form an opinion of it. For instance, was it roaming the neighborhood? Is it always contained in its own yard? Was this completely random? Does she know who shot it? Was it the cops or someone else? Was the dog a nuisance to someone in some way? Was it shot elsewhere and ran home and died in its front yard? Can't say until we know more, IMO.
Should probably not have been shot on its own property, but maybe it wasn't-maybe it had it just gotten back there after being a nuisance elsewhere? You see where I'm going with this. I think there is more to this story than your post says; in fact, I'm sure of it.
People post a partial story similar to this, then we find out the cops shot the dog after it came back from attacking some child down the block and was snarling at them. More information, please.