This experience comes from the April 1985 General Conference when Elder Marvin J. Ashton talked about his experience learning from a prophet while visiting those in prison:
Another lesson was learned from President Kimball as we visited a prison together.
One day a few years ago President Kimball said, “Marvin, I’d like you to take me to visit the Utah State Prison.” He remembered that when I was in charge of the Social Services programs for the Church I had had the responsibility for prisoners.
I said, “President Kimball, I don’t want you to go to the prison. I am afraid for your safety. There are some men confined there who would do anything to attract attention by embarrassing, injuring, or insulting you. I just don’t want you to go.”
That was once when I felt I couldn’t grant his request. He took my advice, and we didn’t go.
However, about two months later, D. Arthur Haycock, President Kimball’s personal secretary, phoned me and said, “Elder Ashton, President Kimball wants you to go to the Utah State Prison with him.” The next day we went. My delaying tactic had lasted only a few weeks.