The Juvenile Instructor states that all members, "even sisters" of the church can lay hands on the sick.
George Q. Cannon, "Editorial Thoughts: Authority to Rebuke Disease," Juvenile Instructor 31, no. 2 (January 15, 1896): 60
Members of the Church have a right to lay hands on the sick and pray for them. Even sisters can do this, and there is no impropriety in it, though it would be better if one holding the Priesthood could be obtained to attend to this ordinance. It is frequently the case that mothers find it necessary to administer to their sick children, at times when no one is at hand who bears the Priesthood whom they can secure to administer the ordinance of laying on of hands for the restoration of the sick. There have been repeated instances of such administration by mothers being attended with healing effects. This, we suppose, no one of experience in the Church will question.