Small Correction to the Bow couplet, posted by RS:

I'm sure I don't know,
Says the great bell at Bow.
(From an old rhyme book, no covers, but was probably whole in the 1950s when it was sent to us from England for the children.

Here is a longer rhyme, from "Lavender's Blue," Collection compiled by Kathleen Lines and illus. Harold Jones, Oxford University Press.

BELLS OF LONDON TOWN (Oranges and Lemons)

Gay go up and gay go down,
To ring the bells of London Town,
Bull's eyes and targets,
Say the bells of St. Margaret's.
Brickbats and tiles,
Say the bells of St. Giles'.
Halfpence and farthings,
Say the bells of St. Martin's.
Oranges and lemons,
Say the bells of St. Clement's.
Pancakes and fritters,
Say the bells of St. Peter's.
Two sticks and an apple,
Say the bells at Whitechapel.
Old Father Baldpate,
Say the slow bells at Aldgate.
Pokers and tongs,
Say the bells of St. John's.
Kettles and pans,
Say he bells of St. Anne's.
You owe me ten shillings,
Say the bells at St. Helen's.
When will you pay me?
Say the bells at Old Bailey.
When I grow rich,
Say the bells at Shoreditch.
Pray when will that be?
Say the bells of Stepney.
I am sure I don't know,
Says the great bell at Bow.

Here comes a candle to light you to bed,
And here comes a chopper to chop off your head.
(These lines from the game).

Oranges and Lemons Game.

"Two children (usually the tallest), secretly deciding beforehand which is to b Oranges and which Lemons, make an arch with their joined hands. The rest of the children walk under the arch and round. On the last line a child is caught by lowering of the arch and is asked privately to choose Oranges or Lemons. He then stands behind whichever he chooses. And so the game continues till all players are captured. The two sides then have a tug-of-war." From "Lavender's Blue."

At a guess- Both rhymes are probably late 18th- early 19th century in origin.