There is a version that goes:

It was in & through the window broads
And all the tirliewirlies (intricacies) o'd
The sweetest kiss that e'er I got
Was from my dainty Davie

Ch: O leeze (expression of pleasure) me on your curly pow(head)
Dainty Davie, bonnie Davie
Leeze me on your curly pow
Mine ain dear dainty Davie

It was down amang my daddy's pease
And underneath the Cherrytrees (not plant life)
O there he kissed me as he pleas'd
For he was my dainty Davie

When he was chas'd by a dragoon
Into my bed he was laid down
I thought him worthy o' his room
And he's my dainty Davie^^^

The Rev. David helps Lady Cherrytree's daughter get pregnant (I guess he couldn't stick to preaching & had to be sticking to elsewhere), then he's to be apprended, for his dastardly deed, (while someone composes the song & she sings it) in her house by soldiers. This fragment is supposed to have been reworked by Burns into the longer song & is also sung to the air of the "Gardener's March".
Bruce O, I think you knew the dirt here from Herd (I got this from MacColl, it's on the "Amorous Muse" by Argo), we don't want to be spared the details, when there's juice to the background we all want the down & dirty lowdown we want the smut, we'll also take any good gore too. Thanks, Barry