Theophylact of Bulgaria
"To bring from his body handkerchiefs used for sweat." They not only touched them while Paul was wearing them, but also took them with them and laid them upon the sick.
But notice the hardness of the Jews. They were not moved when they saw that the garments of Christ's disciples worked miracles.
Yet the miracles from handkerchiefs and towels, and from the shadows of the disciples, were greater than the miracles that Christ performed.
Both the headcloths and the towels were linen. The headcloths were thrown over the head. The towels were held in the hands by those who could not wear headcloths, such as those who wore the consular stole.
The purpose of both was to wipe sweat, saliva, tears, and the like from the face.