The answer is yes. In fact, there is every indication that the scroll Joseph Smith identified as the "Book of Joseph," was in fact the "Egyptian Book of the Dead for the lady Ta-shert-Min, daughter of Nes-Khensu."
Joseph Smith apparently never produced any "translation" material for the "Book of Joseph" (as he did with his Book of Abraham),2 but fortunately we do have Oliver Cowdery's observations on the scroll that the Prophet identified as the Book of Joseph. Cowdery, longtime associate of Joseph Smith and one of the principle scribes involved with the papyri, gave an excellent description of this scroll in a letter that appeared in a Mormon publication of the day. He writes:
The language in which this record is written is very comprehensive, and many of the hieroglyphics exceedingly striking. The evidence is apparent upon the face that they were written by persons acquainted with the history of creation, the fall of man, and more or less the correct ideas or notions of Deity.
The representation of the god-head -- three, yet in one, is curiously drawn to give simply, though impressively, the writer's views of that exalted personage.* The serpent, represented as walking, or formed in a manner to be able to walk, standing in front of, and near a female figure, is to me, one of the greatest representations I have ever seen upon paper, or a writing substance; and must go so far towards convincing the rational mind of the correctness and divine authority of the holy scriptures . . . as to carry away, with one mighty sweep, the whole atheistical fabric . . . Enoch's Pillar, as mentioned in Josephus, is upon the same roll . . . The inner end of the same roll, (Joseph's record,) presents a representation of the judgment: At one view you behold the Savior seated upon his throne, crowned, and holding the sceptres of righteousness and power; before him are assembled the twelve tribes of Israel and all the kingdoms of the world; while Michael the Archangel holds the keys to the bottomless pit in which Satan has been chained . . . (From a letter of Oliver Cowdery to William Frye, dated December 25, 1835, and published in the Latter Day Saints' Messenger and Advocate of the same month.)
A comparison of Cowdery's descriptions with scenes found on the recovered fragments of the Book of the Dead for Ta-shert-Min appears on the following pages. In addition, an important section of this scroll which is now missing, but which would surely have been included in the last part (inner end) of the Book of the Dead, is the scene from Chapter 125, where the deceased is led into the presence of Osiris (compare photo and examination of Papyrus Joseph Smith IIIA and IIIB on pp. 70,71; see also the color foldout on p. 34, which shows a large section of the Book of Joseph scroll). Cowdery's description of "the Savior seated upon his throne, crowned, and holding the scepters of righteousness and power," along with the other details he mentions associated with this scene, correspond very well to the major elements found in numerous similar scenes depicting the Court of Osiris.
It is quite apparent from the evidence Cowdery left us that he was indeed describing a typical scene from the Egyptian Book of the Dead rather than a story penned by the patriarch Joseph, as he had been led to believe. Still, Cowdery's interpretation should not be considered unusual for the period, as he was dealing with then indecipherable manuscripts of undetermined origin and date (there being no true understanding of Egyptian mythology or funerary texts available during Joseph Smith's lifetime). Cowdery's impressions are merely common-sense speculations by a person with no expertise regarding the esoteric subject matter at hand. Joseph's scribe could easily have been describing almost any Book of the Dead scroll. Joseph Smith's papyri collection included at least one other Book of the Dead manuscript (that of Amon-Re Neferirnub)3 and possibly still another (according to notes made in the Egyptian Alphabet and Grammar material). But he was most likely referring to one that had been made for Ta-shert-Min. The picture of the ''serpent with legs standing near a female figure,'' for example, that had so impressed Cowdery, had been copied from Papyrus Joseph Smith V into the pages of a small notebook (included among the Grammar material) bearing the handwritten title "Valuable Discovery of hidden records that have been obtained from the ancient burying place of the Egyptians," followed by the signature of Joseph Smith, Jr.4
Also significant is the presence of rubrics on the Ta-shert-Min scroll. Again, it is Cowdery who identifies this feature for us in the article previously cited:
Upon the subject of the Egyptian records, or rather the writings of Abraham and Joseph, I may say a few words. This record is beautifully written on papyrus with black, and a small part red, ink or paint, in perfect preservation. (emphasis added)
Cowdery's understanding that two of these "records" were the "writings of Abraham and Joseph" must be attributed to the fact that Joseph Smith identified them as such, since the Mormon leader never felt it was necessary to correct Cowdery's published descriptions. However, it should also be noted that some of the key phrases in Cowdery's description were derived from the published placard Michael Chandler used to help promote his traveling mummy exhibition. According to a statement by several prominent Philadelphia doctors who had viewed Chandler's exhibit, the placard read in part:
The features of some of these Mummies are in perfect expression. The papyrus, covered with black or red ink, or paint, in excellent preservation, are very interesting.5 (emphasis added)
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http://www.irr.org/MIT/Books/BHOH/bhoh3.html )