The version my Geordie mother-in-law used to sing (following a little lubrication) went like this.

Come up and see your ganny
Come up and see her noo
Come up and see your ganny
Cos she's aal brand new

She wears a tartan kilt
She wears it in the fashion
Pleats roond the side
In the middle hangs a tassel

Come up and see your ganny
Come up and see her noo
Come up and see your ganny
Cos she's aal brand new

There were more verses relating to (I think) a false leg and another about a false eye, both of which contributed to her being aal bran new. The chorus may have started as Cum up etc

I'd love to know the remaining verses if anyone can oblige.

Sue