Thanks everybody for the warm welcome!
Looking at leaves of Brunswick online, yes you guys are probably right it's Brunswick. It's story is it was brought by my mom's friend's mother from the Middle East in the 1950's however so it may be very related or from same origin. It also seems very rain resistant to spoilage and flavor dilution, which is not what Brunswick is famous for... so not 100% sure it is Brunswick but likely.
For schoolyard figs, the main concerns have been (of course, not having a bland variety goes without say): productivity and bearing late enough that school is in session. Marseilles VS Black would be a perfect choice but I believe it may ripen a tad too early, though we are going to test it.
The goal is to really go for the gold with the kids and introduce them at a young age to outstanding tasting fruit--to motivate them to enjoy eating well (as opposed to becoming apathetic towards eating right when they encounter time and again cardboard tasting store bought peaches, for example).
Actually figs are the only fruit I think we won't have finalized variety default selections yet, and will take another ~3 years. MVSB, JH Adriatic, Stella, IC, RdB are all contenders among others with pros/cons we'll have fun weighing out over the next couple years!