I grew up hearing “London Bridge Is Falling Down” in the US. My guess is that there isn’t an analogous nursery rhyme of comparable fame for London’s other bridges.
“London Bridge Is Falling Down” (also known as “My Fair Lady” or “London Bridge”) is a traditional English nursery rhyme and singing game, which is found in different versions all over the world. It deals with the dilapidation of London Bridge and attempts, realistic or fanciful, to repair it. It may date back to bridge-related rhymes and games of the Late Middle Ages, but the earliest records of the rhyme in English are from the 17th century. The lyrics were first printed in close to their modern form in the mid-18th century and became popular, particularly in Britain and the United States, during the 19th century.
The rhyme is often used in a children’s singing game, which exists in a wide variety of forms, with additional verses. Most versions are similar to the actions used in the rhyme “Oranges and Lemons”. The most common is that two players hold hands and make an arch with their arms while the others pass through in single file. The “arch” is then lowered at the song’s end to “catch” a player. In the United States, it is common for two teams of those that have been caught to engage in a tug of war.[2]
I grew up hearing “London Bridge Is Falling Down” in the US. My guess is that there isn’t an analogous nursery rhyme of comparable fame for London’s other bridges.
https://en.wikipedia.org/wiki/London_Bridge_Is_Falling_Down
I remember doing the arch thing.