I found this note online.
https://www.syracuse.com/outdoors/20...gle_parts.html
Call the U.S. Fish and Wildlife Service, or the National Eagle and Wildlife Property Repository in Commerce City, Colorado.
Your jewelry appears to be Native American in origin, but I can't tell the age.
I'd encourage to pass the claw back through the proper channels.
If it is of old manufacture, they'll likely just take it.
If it is of new manufacture, they'll likely want a better description of the source.