I’m from Australia. We just called this game elastics. The main rhyme i remember is “England, Ireland, Scotland, Wales, inside, outside, inside, on”. The “England, Ireland, Scotland, Wales” bit was sung whilst jumping each rope (left, right, left, right) and then inside, outside, inside and finally “on” the ropes. When it got to underarms we also did things like handstanding up and over the ropes and had three people holding the elastic instead of two.