Question

Valmy is in bed, asleep.
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Can you paraphrase the sentence?
What is the function 'asleep' in the sentence?

Answer 1

1. Valmy is in bed, while he is asleep.
2. Valmy is in bed, and he is asleep.

Does the original sentence mean #1 or #2? Or other sentences?

Answer 2

The original sentence and #2 mean about the same thing.

"asleep" is an adjective in those sentences, modifying "Valmy" in the original sentence and modifying "he" in the paraphrase.