DH shot a mocking bird with a pellet gun once. (We were living in the city limits in San Diego).
The d@mned thing kept going off at 3 in the morning. It was like one of those car alarms that sounds all the different alarm tones over and over. We tried throwing rocks at it, shooing it away. It was in a neighbor's tree. Weeks and weeks this went on. Finally he went to the sporting good store and bought a pellet gun. Then one night, in the pitch dark, he shot it. I don't know how he did it, but the thing never came back, so he must have hit it.
We felt badly about it, but we slept better than we had in weeks.