I just thought to have a look om my bookshelves (instead of on my computer) and I have a copy of Kyle's Scottish Lyric Gems published by Joseph Ferrie, Glasgow. There's no copyright date but the publisher's introduction is dated 1880 (and it was given as a present in 1907).

It describes itself as: "A collection of the/songs of Scotland/original and selected/ with/ new and appropriate symphonies and accompaniments/ for the pianoforte/ by/ T.S. Gleadhill".

And this has the modern tune ("Words by Robert Burns, Arranged by T.S. Gleadhill"). Archie Fisher's version is almost identical to the arrangement in the book.

If you like I can post the tune as it apoears there.

Mick