There are several biblical accounts that are the basis for the modern practice of using a prayer cloth to assist the pray-er to receive positive answers to prayer.
Matthew 9:20-22 tells the story of a woman who had suffered severe bleeding for twelve years. She managed to touch the hem of Jesus’ garment believing this simple contact would heal her. Jesus countered in verse 22, telling her, “…your faith has made you well.”
In Matthew 14:34-36 When they had crossed over, they came to the land of Gennesaret. And when the men of that place recognized Him, they sent out into all that surrounding region, brought to Him all who were sick, and begged Him that they might only touch the hem of His garment. And as many as touched it were made perfectly well. NKJV
Acts 19:11-12 relates how handkerchiefs that Paul had merely touched were carried to the sick, healing people of diseases and evil spirits.