Answer : It is difficult to give the the answer, as the excerpt is not shared. But as I have read "The Story of an Hour". So, I can help with those two sentence which I think are contributing to a sense of hope.
''She could see in the open square before her house the tops of trees that were all aquiver with the new spring life. The delicious breath of rain was in the air. In the street below a peddler was crying his wares. The notes of a distant song which someone was singing reached her faintly, and countless sparrows were twittering in the eaves.''
This is the sentence in the paragraph which clearly shows a sense of hope.