A member of the public, who did not wish to be named, has told ITV News Central that a 'shoot' took place yesterday in woodland at Sweeney Mountain, Oswestry.
It's thought the bones were discovered during this event.
West Mercia Police have cordoned off an area of woodland as forensic officers try and work out the significance of the find.
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Police were called to a street in Birmingham just after midday today.
The bone did not bear any butchery marks, which suggests the animal could have been kept as an exotic pet.
Emergency teams have been attending the scene to assess the damage to the site.