Post-Script: Here's a glamour shot of the problem-child Smith-Corona. It's interesting how much attention these problem children can garner. I'm certain that's part of their strategy, to steal attention away from their more cool siblings. Bless its little heart.
Regarding these "overlaPoems," after some experimentation I find that if you capitalize the first letter of the next overlapped word, it helps in its comprehension; if there is any to be found, that is.