Sentence 1: And, at the moment she was crying out to her, Mrs. Vandemeyer was either dead or dying!

Sentence 2: She thought Mrs. Vandemery was alive and well.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: i think there's still a lot of distrust for uh for an Arkansas man to come here and own uh uh Texas team a team in Texas

Sentence 2: The guy from Arkansas can't be trusted to manage a team in Texas.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Red said, "Hey.

Sentence 2: Red yelled, "Hey, where is down?"
Is this second sentence entailed by the first?

Answer:
it is not possible to tell