Albert Barnes on Matthew 10:2

The account which follows is more fully given in Mk 3:13-18, Lk 6:12-19. Both of those evangelists have recorded the circumstances of their appointment. They agree in saying it was done on a mountain; and, according to Luke, it was done before the sermon on the mount was delivered, perhaps on the same mountain, near Capernaum. Luke adds, that the night previous had been spent in prayer to God. Lk 6:12.

Simon, who is called Peter. Peter means a rock. He was also called Cephas, Jn 1:42, 1Cor 1:12, 3:22, 15:5, Gal 2:9. This was a Syro-Chaldaic word, signifying the same as Peter. This name was given probably in reference to the resoluteness and firmness which he was to exhibit in preaching the gospel. Before the Saviour's death he was rash, impetuous, and unstable. Afterwards, as all history affirms, he was firm, zealous, steadfast, and immovable. He was crucified at Rome with his head downwards, thinking it too great an honour to die as his Master did. Jn 21:18.

James the son of Zebadee, and John his brother. This James was slain by Herod in a persecution, Ac 12:2. The other James, the son of Alpheus, was stationed at Jerusalem, and was the author of the epistle that bears his name. See Gal 1:19, 2:9, Acts 15:13. A James is mentioned, (Gal 1:19) as the Lord's brother. It has not been easy to ascertain why he was thus called. He is here called the son of Alpheus, that is, of Cleophas, Jn 19:25. Alpheus and Cleophas were but different ways of writing and pronouncing the same name. This Mary, called the mother of James and Joses, is called the wife of Cleophas, Jn 19:25.

(u) "names" Lk 6:13