This is the version in the DT:

The wee birdies sing, and the wild flowers spring,
And in sunshine the waters are sleeping,
But the broken heart will ken nae second spring again,'
Though the waefu' may cease fae their greeting

This is the version my half-Scots maternal grandfather taught me:

The wee birdies sing, and the wild roses spring,
And thro’ sunlight the waters are sievin’;
But th’ puir heart wi’ ken nae Hieland flow’r again,
Though the waefu' may cease fra' their grievin’.

Ordinarily, I'd assume that the DT was likely to have a more reliable version than mine, but I can't make sense of "the woeful may cease from their GREETING." Also, though imperfect rhymes are common enough in similar works, "sleeping/greeting," strikes my ear as a peculiarly infelicitous combination.

Bruce, Dick, Jon, Peter -- has anyone else seen a version similar to the one I learned, or should I assume that my grandfather, a concert pianist and professor of music, as well as a proud Scot, was in error?

In fear of disillusionment,

Shula