Here is an amazing account of what happened when Polycarp was arrested before his martyrdom. This is from Eusebius' Church History.
"Soon the pursuers arrived and arrested two of the servants there, one of whom, under torture, showed them to Polycarp's quarters. It was night, and they found him lying in an upper bedroom. He could have moved to another house, but he had refused, saying, 'God's will be done.' When he heard that they had come, he went down and talked with them in such a cheerful, serene manner that they were astounded in view of his old age and confident air and wondered why there was such anxiety to arrest an old man of such character. He ordered that a table be set for them and invited them to dine with gusto, asking only for a single hour to pray undistrubed. This granted, he stood up and prayed, filled with the grace of the Lord, to the astonishment of those present, many of whom grew distressed that so dignified and godlike a man was going to his death."