Question

To give to others is the lesson Scrooge learned in The Christmas Carol, a famous novel by Charles Dickens and dedicated to his family.

I sure To give to others is the subject of this sentence.I not sure about to his family. I am thinking an adverb. Is this correct?
Ms. Sue
To his family is a prepositional phrase, used as an adverb modifying dedicated.

You're right about the subject.