I'd be curious whether they are loaded with cordite (stuff looks like angel-hair spaghetti/pasta)?
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After determining this, my second question would be whether the cases are Boxer primed or Berdan.
If the former, my practice is to fire or kill the primers and deprime, clean the cases, reprime with new non-corrosive primers and reload the original bullet over a new powder charge. All this assumes the cases are in good condition with no signs of age cracking.
I did a search on '303 no headstamp' and the leading rumor I encountered was that this may have been sterile supply for the mujahidin in Afghanistan during their war against the Soviets.