Aren't we all God's Children?

At a former church we attended I remember a member chastising us regarding a group of people (I don't remember who or the context now) and telling us that they were God's children.  I wanted to ask her why she thought they were God's children.  Was it because they were created by Him?  We all have that in common but does that make us God's children?  The Scriptures tell us, "Yet to all who did receive him, to those who believed in his name, he gave the right to become children of God."  John 1:12  John is telling us that we become the children of God by receiving Him and believing in Him.  We have to be born into the family and we have to be adopted into the family.  We are born by the Spirit and we are adopted by the Spirit.  To quote J. I. Packer, " Sonship to God is not, therefore, a universal status upon which everyone enters by natural birth, but a supernatural gift which one receives through receiving Jesus."  Knowing God Chapter 19.
This is one of the myths of Christianity.  Some would have us believe that everyone is a child of God but Scripture makes it plain that only those who have been adopted into the family are children of God.  "For those who are led by the Spirit of God are the children of God.  The Spirit you received does not make you slaves, so that you live in fear again; rather, the Spirit you received brought about your adoption to sonship.  And by him we cry, “Abba, Father.”  The Spirit himself testifies with our spirit that we are God’s children.  Now if we are children, then we are heirs—heirs of God and co-heirs with Christ, if indeed we share in his sufferings in order that we may also share in his glory."  Romans 8:14 - 17