Alex Glasgow recorded a version on "songs og Alex Glagow II", MWM Records 1009. As best I remember it it is went

When Molly began to go courting
Her mother was anxious to tell
How certain young fellas would want her
to stray down the pathway to 'ell
So Molly's old ma used to say:

Keep your hand on your ha'penny
Cover it well with your palm
Keep your hand on your ha'penny
And Molly will come to no harm

They'll hug you and kiss you so sweetly
They'll make you feel ever so nice,
But handle the fellas discretely
And follow this simple advice:

Keep ...

When Molly and I went out walking
(I forget the rest of the verse, sorry ... I'll play the track again if you needs it: but 'the fella's says)

Take your hand of your ha'penny
Look into my bonny blue eyes
Take your hand of your ha'penny
And I'll give you --- a lovely surprise!^^