Where is English "Underneath her Apron"? I lost my copy and reference to it a few years ago and haven't been able to relocate it. A much earlier version: "The rowin't in her apron", Scots Musical Museum, #424. John Glen said, 'Early Scottish Melodies', p. 231, that there was a version of the SMM tune as "Under her Apron" in the McFarlane MSS c 1740. (3 vols. Vol. 1 borrowed in 1806, and never returned. Remaining are NLS MS 2084, 2085. This is one of several compliations of Scots tunes by David Young, but to the best of my knowledge not printed, and no index available.)
Compare with "Willie o Winsbury".