Brigham discusses the second anointing and "fullness of the Priesthood."
Brigham Young, Discourse, in William Clayton, Journal, 26 December 1845; rep. An Intimate Chronicle: The Journals of William Clayton, ed. George D. Smith (Salt Lake City, UT: Signature Books, 1991), 234.
President Young said when he began again he should pay no respect to quorums. Every man that comes in is washed and anointed by good men and it makes no difference. Every man that gets his endowment, whether he is High Priest or Seventy, may go into any part of the world and build up the kingdom if he has the keys, or on to any island. We have been ordained to the Melchisedeck Priesthood, which is the highest order of Priesthood, and it has many branches or offices. And those who have come in here and have received their washing and anointing will be ordained Kings and Priests, and will then have received the fullness of the Priesthood, all that can be given on earth, for Brother Joseph said he had given us all that could be given to man on the earth.