Adam Smith's birthday, again

Round 3 on Adam Smith's birthday. Eamonn Butler enters the ring at the Adam Smith Institute blog by posting on June 14 that

It's Adam Smith's birthday today. Well, probably. We know that he was baptised on 5th June 1723 – which, because of the calendar change in 1752 translates to 16th June today. And generally, children in Fife would be baptised a couple of days after they were born, so it's a fair bet that today is his birthday.

Perhaps we should arrange a cage match between Eamonn and Don Boudreaux to settle the question Smith's birthday once and for all.