Humility is in Andersen's writings almost always connected with persons' being world-oriented, thus often also against its creator, God, or being self-centered. Self-satisfied and self-sufficient characters are often exposed in Andersen' oeuvre. Their charateristics are pettiness, intolerance, a narrow mind, insensibility, being ungratified, because the world seems cruel and unjust and doesn't give them enough, and arrogant pride. The proud and self-sufficient persons thinks that all that is good comes from him-/herself. The humble sees the world around her and her own conditions as sent from God. The humble is satisfied with the facts of life and even thanks (God) for everything.
The rose in "The Snail and the Rosebush" is, in contradiction to the snail, a pious grateful and extrovert type, giving its best to the world. "The Snail and the Rosebush" is a textbook example of the motif and is in addition extraordinary, because God isn't mentioned explicitly as the source of the gifts of life.
"How foolish it would be for the violin and bow to boast of their achievements! And yet we human beings often do so. Poets, artists, scientists, generals – we are all proud of ourselves, and yet we're only instruments in the hands of our Lord! To Him alone be the glory! We have nothing to be arrogant about."(...)
But the Poet didn't sleep. His thoughts rushed forth like the violin's tones, falling like pearls, sweeping on like a storm through the forest. He understood the sentiments of his own heart; he caught a ray of the light from the everlasting Master.
To him alone be the glory!