Acts 16:1-3
Scripture doesn't tell us whether Paul had any physical descendants, but he had a large number of spiritual ones.  In 1 Corinthians 4:15 Paul refers to himself as their father.  "For though you have countless guides in Christ, you do not have many fathers.  For I became your father in Christ Jesus through the gospel."  Of all Paul's spiritual children, Timothy seems to be a favorite, if not the favorite.
Since Timothy's mother and grandmother were believers (2 Timothy 1:5), it is quite likely Timothy heard Paul preach the Gospel on his first visit to Lystra in Acts 14:8-20.  At the very least, it seems impossible for Timothy not to have heard of Paul because of the commotion he and Barnabas caused.  Remember Lystra was where Barnabas and Paul were thought to be Zeus and Hermes.  Then, a few days later, Paul is stoned and left for dead. 
This decision to accompany Paul led to a life of devotion for both men.  Of all Paul's companions, Paul names Timothy more than any other in his letters.  Additionally, the Bible includes two letters Paul wrote explicitly to Timothy. 
Several references display Paul's love and care for Timothy.  Paul refers to Timothy as his beloved, faithful, and true child in the faith (1 Corinthians 4:17, 1 Timothy 1:2, 18, 2 Timothy 1:2).  In Philippians 2:19-24, Paul describes Timothy's uniqueness.  "For I have no one like him, who will be genuinely concerned for your welfare.  For they all seek their own interests, not those of Jesus Christ.  But you know Timothy's proven worth, how as a son with a father he has served with me in the gospel." 
Holy Spirit, thank You for placing Timothy's story in Your Word.  Thank You for including Eunice and Lois, who taught the Scripture to Timothy from childhood, as examples of how to raise a child and grandchild.  Please instill in all of us the desire, like Paul, to have spiritual children. 
Acts 16:8-10
NOTE OF INTEREST:  Notice the change of pronouns from verse 8 to verse 10.  In verse 8, "they went down to Troas."  In verse 10, "immediately we sought to go on to Macedonia."  Since Luke wrote Acts, it seems likely he joined Paul and Silas at this point in their journey.  It appears Luke traveled with Paul all the way to Rome (Acts 28:15).
 Acts 16:14
"The Lord opened her heart to pay attention to what was said by Paul." 
Thank You, Lord, for opening Lydia's heart and mine to receive the Good News preached by Paul.  Who but You can open a person's heart?  Thank You for fulfilling the promise of Ezekiel 36:26-27, "I will give you a new heart, and a new spirit I will put within you.  And I will remove the heart of stone from your flesh and give you a heart of flesh.  And I will put my Spirit within you, and cause you to walk in my statutes and be careful to obey my rules.”