@TheParser,
As a new member, I am very impressed by the willingness of you members to debate a thread starter's question.
I thank all of you very much.
I have been checking my books very carefully, and I have decided to accept the idea of my favorite grammarian, Professor George Oliver Curme.
In his two-volume masterpiece A History of the English Language (1931), he has an explanation for the sentence "He came home tired."
According to the good professor:
1. "Tired" is a so-called predicate appositive.
2. Yes, it does refer to the subject.
3. It also has a relation to the verb.
4. It modifies the verb.
a. Although adjectives usually do not modify verbs, in this kind of sentence, it does.
i. "One predication can modify another."
*****
In another book, I found these two examples:
5. She came home happy.
6, She came home in a happy mood.
The book says that "happy" and "in a happy mood" are complements of the subject.
And I guess that "everyone" would agree that "in a happy mood" is an adverbial element that modifies the verb.
*****
Therefore, thanks to all of you, I now have more confidence in diagramming this:
They = subject.
escaped = verb.
unharmed = adjective that modifies the verb.
James
Happy New Year to all of you. You seem to be a band of most merry fellows.