Ok, how's this for a rotten scenario?
These were US gold coins, therefore US government property. They were buried as a hoard with obvious intent to conceal, not kept as numismatic collections when the US went off the gold standard and required all gold to be turned in. They are no longer in circulation, therefore they are STILL US government property, and due to the illegal concealment factor they must be turned in to the US government.
I could see this happening. However, if not, there will be government agencies, tax authorities, insurance companies, former landowners, individuals, relatives, etc., etc., etc., lined up for a cut. It could be bound up in court for YEARS!