I just listened again to this Kemp's Jig - English Dancing Master 1651 - Playford, which I linked to above on 07 Feb 18 - 02:24 PM.

That version does have a Dowland-like sound to it. I could believe that he may have composed that one.

Mournful. Not jiggish in any modern sense of the word. The wallflower at the dance. Not the bloke at the centre of attention making the moves in the middle of the dance floor (Matt Holmes version).