4:20 Erastus abode at Corinth. Probably his old home (Ro 16:23).
Trophimus. He was an Ephesian (Ac 20:4 21:29).
Have I left at Miletum sick. These personal details were better understood by Timothy than by us, but I suppose this statement is made to explain why Trophimus was not in Rome. This verse proves that this letter does not belong to the date of Paul's first imprisonment, since years have passed between Paul's last visit to Miletus and the first Roman imprisonment.
4:20 When I came on, Erastus abode at Corinth - Being chamberlain of the city, Rom 16:23. But Trophimus I have left sick - Not having power (as neither had any of the apostles) to work miracles when he pleased, but only when God pleased.
4:19-22 We need no more to make us happy, than to have the Lord Jesus Christ with our spirits; for in him all spiritual blessings are summed up. It is the best prayer we can offer for our friends, that the Lord Jesus Christ may be with their spirits, to sanctify and save them, and at last to receive them to himself. Many who believed as Paul, are now before the throne, giving glory to their Lord: may we be followers of them.