This actually happens very frequently in the US. When hunters harvest a bird they report their kills in compliance with hunting regulations. If any of your birds have leg or neck bands you report that information as well. The bands have a tracking number on them, and scientists use them to monitor populations and migration patterns. It’s literally part of their plan.

You get to keep the bands as well (I only have experience with banded geese and ducks). They’re a neat memento.