Which nursery rhyme refers to Mince pies?

The rhyme may be best known from its first verse 'Here we go round the Mulbery Bush'. Over the years many verses have been added such as 'This is the way we wash our clothes' or 'This is the way the ladies walk' or 'This is the way we mend our shoes'. So:

This is the way we eat mince pies

Eat our mince pies, eat our mince pies

This is the way we eat our mince pies,

On a cold and frosty morning.

Little Jack Horner's Christmas Pie, despite containing a plum is thought to be a mince pie. The song 'five currant buns' may originally be about mince pies.

Five mince pies on the baker's shop

Round and fat with sugar on the top

Along came (Name) with a penny one day

Bought a mince pie and took it away.

The trouble with this is that is doesn't scan. Line 1 has eight syllables, line 2 has nine.