The lyrics of the nursery rhyme “London’s Burning” are said to be about Great Fire of London, a five-day fire in the city in 1666. The lyrics of the variant “Scotland’s Burning” are said to be about the Burning of Edinburgh ordered by Henry VIII of England in 1544. The song can be sung as a round.
“London Bridge is Falling Down” is a traditional English nursery rhyme also knows as “My Fair Lady” or “London Bridge”. This song for kids deals with the depredations of London Bridge and attempts to repair it.