Not only are the facts of Jesus' miracles recorded by His own Apostles who were present – Saints Matthew and John were companions of Christ, and Saints Mark and Luke lived in constant contact with His contemporaries.
Even Adolf von Harnack, a rationalist historian of high repute among Rationalist and Protestants, wrote that the Synoptic Gospels were written before 70 A.D. – before the fall of Jerusalem, and accepted the tradition that St Luke derived his information on the infancy of Jesus from Mary His Mother. Theologische Quartalsch, Tubingen 1929, IV, p 443-4].
[See Sheehan/Joseph, *Apologetics and Catholic Doctrine, 2001, p 89, 93]
Very revealing is The Hebrew Christ, Claude Tresmontant, Franciscan Herald Press, 1989, on the origins and dating of the Gospels. As Bishop John Charles Thomas writes in the foreword: “There is nothing in the least unscientific in postulating that there was only a brief period of oral transmission before some of the Gospel materials began to be set down.”
The majority of “scholars” fail again. See the works of Jean Carmignac, John A. T. Robinson, and Claude Tresmontant, who mainly date the NT books prior to A.D. 70, with some of them written in the 30s.
Tresmontant shows in 318 pages, that “all four of the Gospels, as well as some of the other New Testament books, were evidently translations into Greek from earlier texts originally composed in Hebrew.” (p 319). Others agreeing include Jean Carmignac, Greek linguist John Wenham, the earliest being Anglican Bishop John Robinson.
For Matthew, there is evidence from the early church to support an Aramaic original; Papias, Irenaeus, Origen, Eusebius, Chrysostom, Epiphanius, Augustine.