Shouldn't have a case as any nesting bird in there would be a relatively new phenomenon since nesting birds and active airports do not mix well. The private airfield known as Rentschler Field closed in 1999.
I have a solution in any case. My parents love birds and used to have birdhouses all over their yard in CT. One day I was home for the Holidays from UConn and this colorful little bird started eating away at the feeder. My Mom ran over to the window and started yipping about whatever it was. About 30 second later, this dark colored object flashes by leaving just a few red feathers behind. My Mom yells in surprise. I walk out on the porch and sitting on the chair is a Red Tail Hawk enjoying lunch. I laugh. Mom sees it too and screams. Apparently that went on for a few months and eventually my parents gave up and took down the birdfeeders, which I had re-named hawk buffet stations.
PS - This goes way back; but, why didn't CT build out Rentschler Field as it's main commercial airport instead of Bradley? The main runway is long enough, its close to downtown Hartford, and pilots would not have to worry a bout that 800 foot ridge just west of the airport. P&W's operations should not be an issue as a lot of airports have heavy manufacturing around them (Long Beach, Seattle, Wichita, Philly, etc.).