Yes, to the main part of your question. I threw him a baseball, but he didn't catch it. [note the change to the second part of our sentence] is the same as I threw a baseball to him, but he didn't catch it I gave my sister a book = I gave a book to my sister.
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Which one is correct?I'm inclined to say that the second book is correct. There is no difference in meaning between the structure S V O to I and S V I O (for those verbs that allow both constructions). Even in the case cited by the first book, I can easily imagine a counterexample in the form of a description of a play in (American) football: