Up to this point I've considered that Saul's name changed to Paul when he became a Christian but that's not really true.
In Acts 13:9, the first time the name Paul is used, we read
9 But Saul, who was also known as Paul, filled with the Holy Spirit, fixed his gaze on him,
meaning that the names were interchangeable.
Considering that Paul inherited the rights of Roman citizenship from his father (Acts 22:28) and that, as William Ramsay notes in St. Paul the traveler page 81,
It was the fashion for every Syrian, or Cilician, or Cappadocian, who prided himself on his Greek education and his knowledge of the Greek language, to bear a Greek name; but at the same time he had his other name in the native language, by which he was known among his countrymen in general.
does this mean Paul had also a Jewish, Saul, and a Roman name, Paul?