Willie Watt's other "hit song" was Kate Dalrimple. There is a version of The Tinkler's Waddin' by the great singer of traditional ballads and bothy ballads, John Strachan, which is on Folktracks FSA 066. The only other version I know of is on an excellent but long deleted Topic Recording of Ian Manuel entitled The Frosty Ploughshare, Topic 122TS220.

Variation is one of the spices of traditional song life and the nearest verse in Ian Manual's version to the verse quoted by toadfrog goes....

Nae priest wis there wi' solemn face, nae clarty cloon tae claim the brace,
But the piper an' fiddler played the grace an' set their gabs a-steepin, o'.
Twa big scones they were baked an' thick wi' butter they were spread,
A cup o' tea an' a hard-boiled egg, tae carry on the waddin' o.

Cheers.