She could see in the open square before her house the tops of the trees that were al aquiver with the new spring life.
There were patches of blue sky showing here and there through the clouds that had met and piled one above the other in the west facing her window.
Explanation:
In this first sentence, the signs of hope have to do with the openness of the square, the abundance of life that is found in the trees, and the adjective 'new' that denotes a transformation or refreshing change to come.
In this second sentence, the hope is represented by the patches of blue sky. Since clouds are often mentioned when referring to gloom and storms appear when referring to problems, the patches of blue sky would be peace and tranquility.
