To be honest, I think that education of children is a core Morrow goal. Bad enough that most of your team has a shelf life of 20-30 years, what about the next generation?
I would also point to an old post-apoc book- The Earth Abides-
http://en.wikipedia.org/wiki/Earth_Abides
which raises the problem of raising future generations in a world that has broken down, and especially one in which there is much potential to salvage.