i remember a jump rope song of the same pattern,
A my name is anna and i come from alabama
and i eat apples
B my name is betty i come from baha, and i eat bananas

(and so on) you had to sing in out as you entered "double dutch" (2 jump ropes, one turning clockwise, one counterclockwise, with the first work and jump together, (and the last as you jumped out!)

there were other more elaborate patterns
A my name is anna and i come from alabama,
i eat apples and play upon an anchor


B my name is betty and i come from berlin
i eat bananas and play upon a banjo.
(and more other still more elaborate versions.. but we played the simpler ones.)