1. The horse raced past the barn (and) fell.
2. The old man (and) the boat.
3. The author wrote the novel (that) was likely to be a best-seller.

Interesting. The usual, and final, parsings are:

1. The horse that raced past the barn fell.
2. The old that man the boat.
3. The author wrote that the novel was likely to be a best-seller.

Ceci n'est pas un seing.