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 Apocrypha 

Question: Did the King James Bible, when it was first printed, contain the Apocrypha?
Answer: Yes. 

The Apocrypha "books" were included in many of the old Bibles including not only English Bibles but Bibles in other languages.

The Apocrypha.  By this word is generally meant those sacred books of the Jewish people which were not included in the Hebrew Bible (see Canon). They are valuable as forming a link connecting the Old and New Testaments.  But today they are not official Church of Jesus Christ of Latter-Day Saints Canonized Scripture.
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The Prophet Joseph Smith inquired of the Lord concerning the Apocrypha and received the following revelation:

"Verily, thus saith the Lord unto you concerning the Apocrypha—There are many things contained therein that are true, and it is mostly translated correctly;  There are many things contained therein that are not true, which are interpolations by the hands of men.  Verily, I say unto you, that it is not needful that the Apocrypha should be translated.  Therefore, whoso readeth it, let him understand, for the Spirit manifesteth truth;  And whoso is enlightened by the Spirit shall obtain benefit therefrom;  And whoso receiveth not by the Spirit, cannot be benefited. Therefore it is not needful that it should be translated. Amen."  (D.&C. 91:1-6)

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Some of these books are as follows:

The First Book of Esdras. 
The Second Book of Esdras.  
The Book of Tobit. 
The Book of Judith. 
The rest of the chapters of the Book of Esther. 
The Book of the Wisdom of Solomon. 
The Wisdom of Jesus the son of Sirach, or Ecclesiasticus. 
The Book of Baruch. 
The Song of the Three Children.
The Prayer of Manasses, king of Judah. 
The First Book of the Maccabees.
The Second Book of the Maccabees.

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My Favorites:  
Bell and the Dragon.  In this fragment we have two more anecdotes related of Daniel. In the first, Daniel discovers for king Cyrus the frauds practiced by the priests of Bel in connection with the pretended banquets of that idol. In the second we have the story of his destruction of the sacred dragon that was worshipped at Babylon. Both stories serve the purpose of bringing idolatry into ridicul.

 Bell and the Dragon.

The History of Susanna.  This story describes how Daniel as a young man procured the vindication of Susanna from a shameful charge, and the condemnation of the two elders who had borne false witness against her.  
The History of Susanna.
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Additional Information:

BYU Religious Studies Center   
Apocryphal Writings and the Latter-day Saints
by Gerald E. Jones