Name of fairy tale about a rose bush

I read a short fairy tale by Hermann Hesse many years ago but don't remember much about it or the name of the story, and can't find anything that is similar by HH via a Google search. It was in a book of similar short stories.

My description is going to be somewhat vague and brief unfortunately: There is a rose bush in the garden outside of a cottage. Either someone inside of the cottage is narrating the story or the rose bush is reflecting on various matters of concern to her. At some point near the end someone dies in the garden and the rose bush absorbs the dead (person? or something) and the smell of the rose is infused with the beautiful character of the dead being.

Any help with identification of this story is much appreciated.

Thank you,
William