i was born on the west coast of scotland in 1970. we played elastics using the chant:
scotland, england, ireland, wales
inside, outside, monkeys' tails.

the 'playmate' chant was used for clapping games:
see, see my playmate
come out and play with me
and bring your dolly too
we'll climb the apple tree
over a rainbow
into a magic land
and we'll be best of friends
forever more.

Does anyone remmeber this chant which was used for ball games?:
six white horses in a stable pick one out and call it mabel
mabel butter, mabel cheese
mable fell and skint her knees

i remember the tunes too. i use these when i teach english to children in austria.