Matthew Poole and continuators on Acts 10:48

48 And he commanded them to be baptized in the name of the Lord. Then prayed they him to tarry n certain days.

That is, in the Name of our Saviour. But this does not imply, but that they were Baptized according to our Saviours prescription, Matth. 28.19. but the Iews by their Baptism, they were become the Lords, (and had given up their names to Iesus Christ) under which Title the Lord, not only our Saviour, but the Father who Anointed him, and the Spirit by whom he was Anointed, is to be understood.

Cornelius and the rest of his Friends, which he caused to be present. At their entreaty Peter and others that came with him (as Acts 11.3.) tarried there, that they might further instruct, confirm, and comfort them: (as the best have ever need to learn, and to grow in Grace and Knowledge) and by this Peter shewed that he looked upon himself and others as not bound to observe those Precepts (of the Wise Men, as they called them) forbidding them all familiarity with the Uncircumcised.