In the drama: Young Timothy has a friend and they are both interested in going to Athens to persue a higher education. Timothy's father (a Greek) is shown encouraging Timothy to go to Athens for schooling. Both Timothy and his friend continue to be associated with the congregation but his friend goes to Athens for learning and never enters the ministry like Timothy. Later, an older brother in the congregation entices Timothy's friend with materialism, etc and tries to influence Timothy's friend away from spiritual concerns.
In the Bible: Timothy has a father that was Greek.
Seems to me the WTS has indulged in complete fiction as a vehicle for their agenda: Limit higher education, pioneer, apostacy.
For reference the Insight Book has the bio, no apparent fiction here:
***
it-2 pp. 1105-1106 Timothy ***TIMOTHY
(Tim´o·thy) [One Who Honors God].
Son of a Jewess, Eunice, and a Greek father (not named in the Scriptures). While very young, Timothy was taught "the holy writings" by his mother and probably also by his grandmother Lois. (Ac 16:1; 2Ti 1:5; 3:15) It is not known precisely when Timothy embraced Christianity. However, perhaps late in 49 or early in 50 C.E., when the apostle Paul arrived at Lystra (apparently Timothy’s home) in the course of his second missionary journey, the disciple Timothy (perhaps in his late teens or early twenties) "was well reported on by the brothers in Lystra and Iconium."—Ac 16:2.
It may have been at this time that, as a result of the operation of God’s spirit, certain prophecies or predictions were voiced concerning Timothy. After the holy spirit had in this way indicated the future of Timothy, the older men of the congregation joined the apostle Paul in laying their hands upon Timothy, thereby setting him apart for a particular service in connection with the Christian congregation. (1Ti 1:18; 4:14; 2Ti 1:6; compare Ac 13:3.) Paul chose Timothy as a traveling companion and, to avoid giving Jews an occasion for stumbling, circumcised him.—Ac 16:3.Travels With Paul. With Paul, Timothy shared in Christian activities in Philippi, Thessalonica, and Beroea. (Ac 16:11–17:10) When opposition that was stirred up by fanatical Jews made it necessary for Paul to depart from Beroea, the apostle left Silas and Timothy behind to care for the new group of believers there. (Ac 17:13-15) It appears that Paul thereafter sent word to Beroea, advising Timothy to visit the brothers at Thessalonica, encouraging them to remain faithful despite tribulation. (1Th 3:1-3; see ATHENS [Paul’s Activity in Athens].) Apparently rejoining Paul at Corinth, Timothy brought good news about the faithfulness and love of the Thessalonian Christians. (Ac 18:5; 1Th 3:6) In the letter Paul then sent to the Thessalonians, he included the names of Silvanus (Silas) and Timothy in the salutation, as he also did in his second letter to them.—1Th 1:1; 2Th 1:1.