It is an interesting question: Was John referring to an actual lady in 2 John 1, or was he referring to the church to which he was writing? I’m not sure the question is answerable, but it does not matter to his expression of love.
The word elect simply means chosen. So, the one to whom he wrote was either a Christian, or represented Christians. The little children are either actually the woman’s personal children, or referenced individual Christians in that church.
Regardless, there was a tender promise John made to her regarding God. “Grace, mercy, and peace will be with you from God the Father and from the Lord Jesus Christ, the Son of the Father, in truth in love.” (3)
There was an admonition given to her that applies to us all. “And now I plead with you, lady, not as though I wrote a new commandment to you, but that which we have had from the beginning; that we love one another” (5).
There was a universal warning concerning false teaching, given to her. “If anyone comes to you and does not bring this doctrine [the doctrine of Christ], do not receive him into your house nor greet him; for he who greets him shares in his evil deeds” (10-11).
All these sentiments we too must heed!
