From the Ipswich Journal:

February 5th 1785

At a court martial held at Ipswich, his Majesty has approved the proceedings that George Smith alias French, a private in the dragoon regiment quartered at Ipswich for desertion was sentenced to be shot.
It is said the unhappy criminal has deserted 17 times from different regiments.

February 12th 1785

The dragoon who was sentenced to be shot is to sent to the West Indies for life.

So no Prince Albert in his carriage and six (he hadn't even been born then anyway), and certainly no happy ending to this one, though if he was lucky he might have descendants living in the West Indies.