The First Version of How it Happened (no Angels involved).
Lucy Mack Smith, Joseph Smith's mother, describes how Joseph and Oliver were translating 3 Nephi on May 15, 1829, when the Urim and Thummen told Joseph that he and Oliver should immediately go to the nearby Susquana River to receive the Aaronic Priesthood. They immediately did, and knelt in prayer. When the prayer was over and they were walking back and encountered Samuel Smith. They told him they had received the Aaronic Priesthood and immediately baptized him in the river.
Later that evening, in the Whitmer Home, Joseph and Oliver prayed and received the Melchezidek Priesthood which allowed confirmation of the Holy Spirit upon someone after baptism.
Later, in 1885 David Whitmer tells the same story, dismissing tales of an angel being involved. He said he had never heard of an angel being involved in the Priesthood restoration until 1834, 35, or 36.
William E. McLellin, in 1870 said, "I joined the church in 1831. For years I never heard of John the Baptist ordaining Joseph and Oliver. I heard not of James, Peter, and John doing so."