Both Marry and i wanted the last piece of cake.

We both thought this novel was one of the finest books we had ever read.

When it came to spring,my thoughts often turned to the years i had spent quarterbacking my high school football team.

They would be subject, direct object or object of preposition ?

First, please tell us what you think are the correct answers.Emotion: smile

Best wishes, Clive
I think cake is the object of preposition in first sentence and the last piece is direct object.
Second sentence i feel that "Books" is object of preposition because it starts from Of but i feel confuse as well because of adjective "Finest" before books.
third i think "turned" used as verb.

Now correct me !