How can one dispose of money owed to unknown and non-existent individuals in order to absolve the deceased's conscience?

Efforts should be made to identify the owners of the funds or their heirs. If this proves impossible after due diligence, one has the choice between remitting them to the judge or donating them as charity on behalf of their owners, while guaranteeing their restitution to them. The father will receive the reward for this charitable act.