Anybody else refund the wrong customer and loose their money?

Recently I had two transactions from foreign buyers one above the other in my pay pal account.  The value of the transactions were very close.  Inadvertently I refunded the wrong person.  They received over $400 US worth of dishes and a full refund AFTER they rec'd the dishes.  They would have known there was an error but, instead, they accepted the transaction.  Pay pal can not help me now.  The customer is ignoring my plea to do the right thing.  Has this happened to anyone else? I am devastated.  

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Thank you. 😩