Looks like the width of the page is wrong, and the CSS isn't properly applied when prerendering. Resizing the window fixes the issues, as does showing devtools. Rather inconveniently, showing devtools disables prerender, which does make it rather difficult to debug.
If you open links to
http://www.brocktonschool.com/ in a new background tab, you see the exact same behavior. If you start loading in a background tab, but quickly focus it before the tab makes much progress loading the site, it renders correctly. so the problem isn't specific to prerender, it's loading the page in a background/non-visible tab (Which is a bit like prerender in some ways, but very different in others).
My suggestion for debugging: Open a windows two two tabs. Open devtools. Navigate the tab showing devtools to
http://www.brocktonschool.com/. Quickly switch to the other tab, and wait for the hiddent tab to finish loading. Switch back, and you should have the page incorrectly rendered, and devtools running.
I'm not sure if this is a Chrome bug or an issue with the site.