Here's a long shot.
Francis Collinson in the 1950s collected the following fragment which at the moment appears to be unique. Anyone recognise any of it? I've checked out all of the 'Kate' broadside ballads without success.

Now welcome, dear Kate, and we'll partake,
The stranger shall partake a share.
Of cake and rash shall be his fill,
And wine to make the weary bless.