Stuck had heard from their dad Kevin after the announcement who told him they were extremely proud.
As the First 15 coach, Stuck had watched all boys play and see their skills develop.
While Beauden showed attributes of a professional rugby player early on and demonstrated skills that would allow him to be influential in a game, it was Scott who he knew would definitely be an All Black.
"As a coach to be honest, I actually thought he would kick on to be an All Black. I thought this guy has an amazing skill set. For a lock, kicking goals, footwork, everything. I thought he could certainly go on and play for his country if not for his province."
Jordie, the youngest of the Barrett boys and just 19, had only been away from the school for two years but progressed quickly, Stuck said.
"Jordie grew really quick at secondary school, he was a very, very able rugby player and again skill set, ability to read a game, very tough - he's progressed as well. "
Along with the three Barrett brothers, another former Francis Douglas student Liam Coltman had also been named as a hooker on the tour.
"The college is a very tight community . . . Four boys from Francis Douglas is a pretty phenomenal achievement to be honest," Stuck said.
Martin Chamberlain, the principal of Francis Douglas Memorial College, said they were not only proud of their rugby achievements, but that they had grown into well-rounded young men.
"The Barrett brothers are well-known in the school and they are related to a lot of people so this has a warm fuzzy feeling all round for the whole of the province.
"It's a family thing too of course, natural aptitude and family backing that makes it also."
Coastal Rugby Club committee member Neil Pennington said the Barretts played a key role in the club with their dad Kevin being a founding member and the brothers were among a few select members who had become All Blacks.
"We beam with pride. They are very good kids. They've got all the skills required - temperament, work ethic. At the end of the day when they come home they are just Coastal boys."
Jordie had been practising with club members on visits home this year and Beauden always made sure he said hello when he was back, Pennington said.