Luke was St. Paul's secretary. Not an eyewitness, but took down the testimony of many eyewitnesses in his capacity as scribe to a very active Apostle. But, as I said earlier, much eyewitness testimony is taken down by another rather than written by the eyewitness himself (e.g. Tacitus and Pliny the Younger).
Here is a site that goes into excruciating detail regarding the historicity and authorship of the Gospels. From my observation, the author has a good working knowledge of the classical texts as well as the Church Fathers.
Thanx
Hopefully, the Doubting Thomas in Italy will be assessed court costs and be subject to a penalty for a frivolous lawsuit.