And I baptized also the household of Stephanas: besides, I know not whether I baptized any other.

People's New Testament

1:16 I baptized also the household of Stephanas. This household was the first fruits of Achaia (1Co 16:15); Stephanas was one of the three Corinthian brethren then visiting Paul at Ephesus (1Co 16:17). There is no proof that this, or any other household named in Scripture, contained infants, but there is proof that most of them did not. The household does not mean the same as the family, but those dwelling in the house; often the servants only.

Wesley's Notes

1:16 I know not - That is, it does not at present occur to my memory, that I baptized any other.

Jamieson-Fausset-Brown Bible Commentary

16. household of Stephanas-"The first-fruits of Achaia," that is, among the first converted there (1Co 16:15, 17). It is likely that such "households" included infants (Ac 16:33). The history of the Church favors this view, as infant baptism was the usage from the earliest ages.

Matthew Henry's Concise Commentary

1:10-16 In the great things of religion be of one mind; and where there is not unity of sentiment, still let there be union of affection. Agreement in the greater things should extinguish divisions about the lesser. There will be perfect union in heaven, and the nearer we approach it on earth, the nearer we come to perfection. Paul and Apollos both were faithful ministers of Jesus Christ, and helpers of their faith and joy; but those disposed to be contentious, broke into parties. So liable are the best things to be corrupted, and the gospel and its institutions made engines of discord and contention. Satan has always endeavoured to stir up strife among Christians, as one of his chief devices against the gospel. The apostle left it to other ministers to baptize, while he preached the gospel, as a more useful work.