In fact, the attribution to Matthew, and therefore the name 'Matthew's Gospel', comes from the second century. Before then, the gospel was unsigned and anonymous. So we do not know who the author was, nor to whom the author was writing.
Michael Matthews
Jewish
Paul wrote several epistles, or letters, in the Bible, but not a gospel. In fact, he does not seem to have known much about the life of Jesus of Nazareth and seems not to have regarded him as a person who had lived in the recent past.
Billy Fincher wrote the book Gospel of Nicodemus.
We do not know where Luke was when he finished his final composition of the gospel. Luke was not an eye witness to the happenings in the gospel he wrote, but relied on eye witness, history, and other archives for his writing's. He interviewed many persons in many places (towns, villages etc.) and so probably kept a ledger (Diary) of sorts and at some point in time and place wrote his gospel.
He wrote the second, the Gospel of Mark.
Pelham Matthews has written: 'Report Writing' 'Normative Case Method'
It is Mark.Matthewmost shcolastic agree that Mark wrote the gospel before the others but the gospel by Matthew was put first in the new testament.
St. Luke wrote two books in the New Testament: the Gospel of Luke and the Acts of the Apostles.
Mathew, Mark, Luke and John wrote the gospel.
Luke writer of the gospel also wrote for the Gentiles
A:Paul apparently had a companion called Luke, who was a physician. Whether he was actually Greek or was from another part of the Greek-speaking world is hard to establish for certain. The second-century Church Fathers attributed Luke with writing the third New Testament gospel, which had until then been anonymous, but this attribution is unlikely to be correct. So: Luke was a doctor; he might have been a Greek doctor; but he did not write a gospel.