It was Hamilton's first try for his country as he battled his way over from a couple of metres out although he told the media after the game that he was sure that he'd covered more distance:
"It was about 30 metres," he said, laughing. "I just opened up my legs and off I went. But it's great to score my first try for Scotland, especially away, but credit to the boys, credit to everyone who has been involved. The feeling of winning is fantastic."
Conditions in Mar del Plata were pretty appalling, with rain lashing down throughout, meaning that it wasn't a day for running rugby.
So, a dogged performance was called for and Scotland duly delivered on the evening although they were forced to defend for most of the second half.
Rory Lawson delivered a fighting display until he was replaced about 10 metres from time and his club team mates - Alasdair Dickinson, Scott Lawson and Alasdair Strokosch - all provided real impetus when they joined the action from the bench.
The win secured a first-ever Test series win on tour following the 24-16 victory in Tucuman the previous weekend.