In 1 Cor. 1:14 to 16, we read of still another household: that of Stephanas. "I baptized also the household of Stephanas." Nothing, more is told us of this household until we come to 1 Cor. 16:15, when we read: "Ye know the house of Stephanas, that it is the firstfruits of Achaia, and that they have addicted themselves to the ministry of the saints." It might seem from this latter Scripture that those in the household of Stephanas were old enough to minister to, or, serve the saints, and so had passed the age of infants or children: but the word used in Greek for the household of Stephanas in the first chapter is a wider word, than that used of it in the 16th chapter. This would intimate that all the house of Stephanas was baptized, but only part, a narrower circle, perhaps excluding little children, addicted themselves to the service of the saints. So once again the Scripture is entirely silent as to who composed the household of Stephanas, and silent as to their spiritual condition: Yet Paul himself baptized it. If we are wise we will learn from these silences, as well as from what is revealed to us.
There was nothing further from my thoughts when I began than to touch on the vexed question of the baptism of our children; but in meditating on Scripture households, it seemed hardly upright to either pass over this remarkable series of households in the New Testament, or to refrain from seeking to point out what appears to the writer to be the evident intention of the Holy Spirit in recording them in this particular manner for us. I know nothing of "Infant Baptism," or "New Birth by Baptism," in the Scriptures; but I do not believe any true Christian who believes the Scriptures can deny that the baptism of households is plainly taught in the Word of God. They may not like it. They may not believe in it. They may refuse to bow to it, as so many around us refuse to bow to clear truths in the Scriptures that they cannot deny. But I do not believe that any honest Christian can say that the baptism of households, entirely apart from any mention of their faith, is not plainly taught in the Word, of God. Oh, May God give us grace not only to hear His Word, but also to do it. See Matt. 7:24.
(Parts of the preceding are taken from "The Two Trees of Paradise;" and from "Christian Baptism"; both by Walter Scott.)
(From: "To The Parents of My Grandchildren")