Thanks to Masato for the link to the 10th edition of The Dancing Master. The tune there is definitely moving closer to the Minstrelsy version of Derwentwater's Farewell (which is all I've ever heard it sung to, or indeed played), certainly closer than the Gamble version:
X:4 T:Never Love Thee More B:John Playford: The Dancing Master 10th Edition, 1698 M:6/4 L:1/4 K:G D> E D G2 A|B> c B A2 G|d B2 A2 G|E3-E2 E| D> E D G2 A|B> c B A2 G|d B2 c2 d|e3-e2 e| d B2 A2 G|c2 d e> d c|d B c A2 G|E3-E2 E| D> E D G> A G|B c d e> d c|d B c A2 G|G3-G2||
Thanks to Murray for spotting my typo in the quotes from Simpson (perhaps a Mudelf could correct it there - delete my interpolated c).
As Wolfhound person mentioned, the tune is in The Charlton Memorial Tunebook, where it's give as a duet, arranged by W.J.Stafford. The duet is a straighforward arrangement of the tune, with the melody essentially as in The Minstrelsy and a harmony part mostly a third or a sixth above the melody, keeping the same rhythm as the melody.