I'm somewhat embarrassed that such a simple problem has stymied me, but after a few hours of fruitless googling, I'm still stuck.
To simplify my problem, the 2nd line of this crashes:
  vector<vector<string> > sorted_words;
  sorted_words[0].push_back("hello");
Shouldn't sorted_words[0] represent an empty vector that I can legally push_back onto?
No.  You have a vector of vectors.  You haven't added anything to either vector by line 2, so sorted_words[0], the first element in sorted_words, doesn't exist yet.  
You're trying to push "hello" into a null vector.
Null pointer dereference!
I would ask "do you really want a vector of vectors, or just a vector of strings"?
If you want a vector of strings, then use:
vector<string> sorted_words;
sorted_words.push_back("hello");
If you really do want a vector of vectors (of strings), then use:
vector<string> first_vector;
first_vector.push_back("hello");
sorted_words.push_back(first_vector);
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