Yea, I think the little hook thing at 4th from left in the centre is a 'Cartridge Extractor' for pulling stuck shotgun cartridges out of a chamber. After firing the cardboard casing can partly disintegrate, expand and the remains stick in the chamber. The tool has a hole to stick your finger through to pull with and a hook to fish the remains out of the chamber. Various grabbing claws around the top help get hold of the cap first.
Not checking for a clear chamber and removing all the remains of an old cartridge can be a bit dangerous, as the next cartridge has no room to expand and can burst the barrel. According to my late Father, that's how Great Uncle lost the top of his head. He survived, but Father said he was not so 'sharp thinking' afterwards, and less handsome.
Information about them here:
finesportingcollectablesltd.co.uk