Just looking at this from the perspective of these three women, we can gleam some good doctrine.
Act 16:1 Then came he to Derbe and Lystra: and, behold, a certain disciple was there, named Timotheus, the son of a certain woman, which was a Jewess, and believed; but his father was a Greek:
Act 16:2 Which was well reported of by the brethren that were at Lystra and Iconium.
Act 16:3 Him would Paul have to go forth with him; and took and circumcised him because of the Jews which were in those quarters: for they knew all that his father was a Greek.
Act 16:4 And as they went through the cities, they delivered them the decrees for to keep, that were ordained of the apostles and elders which were at Jerusalem.
Act 16:5 And so were the churches established in the faith, and increased in number daily.
From Paul’s later writing we learn a strong message about God’s word….and the faithful teaching of it….which impacted this young man.
2Ti 3:14 But continue thou in the things which thou hast learned and hast been assured of, knowing of whom thou hast learned them;
2Ti 3:15 And that from a child thou hast known the holy scriptures, which are able to make thee wise unto salvation through faith which is in Christ Jesus.
2Ti 3:16 All scripture is given by inspiration of God, and is profitable for doctrine, for reproof, for correction, for instruction in righteousness:
2Ti 3:17 That the man of God may be perfect, throughly furnished unto all good works.
Also verse 4 speaks about the Jerusalem council letter, which I wrote about here…