In this DLC the findings of these Survavilst notes say how the children "future sorrows is who I think they are" came from a place called The School. They're well educated and could have been in the Mutation experiment from the Big Empty and told them it was The School. The principle could have been the leader of the experiment. Anyone else see that as a possibility?

when i read the school first thought i had was of the fabled school from fo3 that dr lee went off to find

It's fairly likely that that School has something to do with the Big Empty. It's basically a giant research complex with multiple projects going on, so it might have an automated breeding and education program.