When it was first dictated, Doctrine and Covenants 81 gave counsel and promised blessings to Jesse Gause, a recently called counselor to Joseph Smith. Gause did not remain faithful to his calling, however, and Frederick G. Williams was soon called to replace him. The counsel and promises of the revelation were then shifted to Williams. It is his name and not Gause’s that has appeared in published versions of the revelation.
Robin Scott Jensen, “Jesse Gause: Counselor to the Prophet,” history.lds.org