I've just found this online. It seems the family all applied for an ESTA and the father's was refused, even though he was never charged. I'm not sure how the Americans found out, and it seems they didn't just send them back on the next flight. I wonder how it all came to light.

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If you are to punish a man retributively you must injure him. If you are to reform him you must improve him. And men are not improved by injuries. (George Bernard Shaw)