Uncle Jaque: This is pretty close to your version:
Copied from http://www.scocha.btinternet.co.uk/borderingon.htm
(They also have a sound sample, and lyrics to several other songs.)

ETTRICK LADY
(Trad. Arr. Scocha [Iain Scott and David Chapman])

As Aa gae doon the Ettrick Valley
At the oor o' twelve at night,
Who did Aa see but a handsome lassie
Combing her hair by candlelight.
Lassie Aa hev come a courtin.
Ee'll find favours for tae win,
And if ee'll but smile upon me
Next Sunday night Aa'll call again.

So tae me ee turn yer courtin
Ma fine favours for tae win,
But it wid gi'e me the greatest pleasure
If ee never did ca' again.
What wud Aa dae when Aa go oot walkin
Walkin oot for the Ettrick view?
What wud Aa dae when Aa go oot walkin
Walkin oot wi a laddie like you?

Lassie, Aa hev gold and silver.
Lassie, Aa hev hooses and land.
Lassie, Aa hev ships in the ocean.
They'll be all at your command.
What dae Aa care for yer ships in the ocean?
What dae Aa care for yer hooses and land?
What dae Aa care for yer gold and silver,
When all Aa want is a handsome man?

Did ee ever see the grass in the morning,
Aw bedecked wi jewels rare?
Did ee ever see a handsome lassie,
Diamonds sparklin in her hair?
Did ee ever see a copper kettle
Mended wi an auld tin can?
Did ee ever see a handsome lassie
Married off tae an ugly man?