Brilliant! After your job of clearing this up, I've found the verse the children are chanting!! It's a poem called Jenny Jones and the text is:
"Please, we've come to see Jenny Jones, Jenny Jones, Jenny Jones;
Please, we've come to see Jenny Jones,
And how is she today?
Jenny she is dead,dead, dead;
You cannot see her today.
What colour is she going to be buried in?
Red.
Red is for danger, danger, danger;
Red is for danger, so that won't do.
White.
White is for angels, angels, angels;
White is for angels, so that will do.
Ding, dong,
The castle bells,
Ringing for me;
I'll be buried in the old churchyard
Beneath the great yew tree."
The Annexe sample is not an exact copy of this but it's broadly similar. We just need to find the version of people chanting this rhyme now!
Edited to add - I found the text of the poem
here and the website note on the poem is as follows:
"This is a chase game: a group of kids go away and return singing verse 1; then a girl (for this is a secret girls' game it seems) sings 'Jenny she is dead...'; the group then stand in front of her and sing 'What colour...?' the girl answers; children sing 'Red is for danger...'; girl choose white; children sing 'White is for angels...' then the group stands over the girl who is Jenny Jones and sing 'Ding, Dong' etc, after which Jenny springs out of the corner and chases everyone away - the first one caught becomes Jenny Jones ..."