Upvote:1
The earliest I know of is in the late 1500s, where several English Puritans took this position.
John Cotton (1584-1652), New England Congregationalist theologian:
In both which places (Eph. 5:19, Col. 3:16), as the apostle exhorteth us to singing, so he instructeth us what the matter of our song should be, to wit, Psalmes, hymnes, and spirituall Songs. Now these three be the very titles of the Songs of David, as they are delivered to us by the Holy Ghost himself: some of them are called Mizmorim, that is Psalmes; some Tehillim, that is Hymnes; some Shirim, that is Songs, spirituall Songs. Now what reason can be given why the apostle should direct us in our singing to the very titles of David’s Psalms, if it were not his meaning that we should sing them? … The words of David and Asaph, as they were the words of Christ in the mouth of David and Asaph: so they were the words of Christ also in the mouths of the sonnes of Corah, or any other singers in the Temple.
George Swinnock (1627-1673), English Puritan, commenting on Colossians 3:16:
The Holy Ghost when he commandeth that the word should keep house with us, doth also enjoin us to ‘teach and admonish one another in psalms, and hymns, and spiritual songs.’ (which are the titles of David’s Psalms, and the known division of them, expressly answering to the Hebrew words, Shurim, Telhillim, and Mizinurim, by which his Psalms are distinguished and entitled, as the learned observe.) ‘singing and making melody with grace in our hearts to the Lord,’ Col. 3:16, Eph. 5:19, Jam. 5:13.
I have heard that Jerome speaks in the matter but I don't have an English translation of his writings, so I cannot confirm it.