1842…

“He called me by name, and said … that his name was Nephi.”

Joseph Smith, Jr., Times and Seasons – Volume 3 (Nauvoo, IL: The Church of Jesus Christ of Latter-day Saints, 15 April 1842), No. 12, 753. Note: Joseph Smith was the Times and Seasons editor at the time and lived another two years – but never retracted it. “Nephi” was repeated in the Millennial Star a few months later, in August 1842 (No. 4, Vol III, page 53).

1902 and current...

“He called me by name, and said … that his name was Moroni.”

Joseph Smith, Jr., History of the Church of Jesus Christ of Latter-day Saints – Volume 1 (Salt Lake City, UT: Deseret News, 1902), 12. Note: Changed from Nephi to Moroni by Albert Carrington, about 2 March 1871 – more than 50 years AFTER the event was said to have taken place.