Question:  Is salvation inherited to a certain extent.  (1 Corinthians 4:14:  “I do not write these things to make you ashamed, but to admonish you as my beloved children.”)

No.  Salvation is not inherited at all.  If it could be inherited Jesus’ death would be in vain.  Ephesians 2:8 is clear:  “For by grace you have been saved through faith. And this is not your own doing; it is the gift of God…”  Salvation is God’s work from beginning to end.  We cannot inherit salvation from our parents or from Godly people we may know.  They can help us to come to know Christ by teaching us about Him, but no one can save himself or another person.  Christ alone brings salvation to lost people.

In 1 Corinthians 4:14 Paul refers to the Corinthian believers as his “children” because he has invested much time in them as a spiritual parent/pastor to them.  However, to push the analogy, he did not birth them.  Pastors, Bible Fellowship leaders, small group leaders, one-to-one disciplers function, to a large extent like surrogate spiritual parents to those younger in the faith.  We did not birth any of the children we teach, but we are given great responsibility in teaching them.