OK, I checked Roy Palmer's 'Weaver in Love' paper, and it looks like they printed the tunes the wrong way round. The one given with Lloyd / Mr Oliver's words is the 6/8 one that Nick has identified correctly as the one in Kidson's MS. The one given for the Kidson 'T'Owd Weaver' is the 5/4 one that lloyd/Steeleye used. However, Roy Palmer says in the endnotes that the Oliver tune is similar to Enos White's 'In Sheffield Park' - and that is in 5/4. Not as similar to Lloyd's 'Handweaver' as Nick's Roud 3334, mind.