I heard this story today however from the Primary 3 manual page 37, that left me a little troubled. This is word for word from the lesson.
"Show picture 3-19, President David O. McKay, as you tell the following story: When President David O. McKay was the prophet, he traveled throughout much of the world to meet and lead the members of the Church. Once when he was in Germany, he heard about a mother who was paralyzed (she could not move parts of her body) and could not come to the conference to hear him speak.
This mother had two children, and she wanted them to go to the conference and see and hear the living prophet. With great faith she said, “I know if I send my children to shake hands with President McKay, and then they come home and take my hand—if I can hold their little hands in mine—I know that I shall get better.”
Arrangements were made so that her two children were able to go to the conference. The children were thrilled and excited as they traveled to see the prophet.
At the end of the conference, President McKay shook hands with many people who were there. He knew that these two children were coming, and when he saw them, he shook hands with them and said, “Will you take this handkerchief to your mother with my blessing?”
The children took the handkerchief back to their mother. She was very happy and thanked the Lord every day for the handkerchief and the blessing which President McKay sent through her two children. Immediately after the children came home, she began to get better, and she was soon able to move her body and take care of her children. (See Cherished Experiences from the Writings of President David O. McKay, comp. Clare Middlemiss [Salt Lake City: Deseret Book Co., 1955], pp. 149–51.)"
The story sounds a bit like the story from the New Testament when a woman who had an issue of blood sought to touch the garment of Jesus and was healed (Mark 5:25-34). Or a bit like a story from Acts. Acts 19:11-12 reads "And God wrought special miracles by the hands of Paul: So that from his body were brought unto the sick handkerchiefs or aprons, and the diseases departed from them, and the evil spirits went out of them."
The scripture in Acts states very clearly that it was God who did the miracle. He used Paul as the means to accomplish it. The words leave no room for confusion on the matter, although I've read accounts of how such "handkerchiefs or aprons" would become objects of superstition, used for the wrong reasons, and potentially another idol to the people. These stories can easily turn the Church president into an idol.
Everything in the Gospel is supposed to point to Christ, yet so often there is a tendency to almost pass over that and focus on someone or something else.