Vote for Dear Old...??
(I'm not sure if this is the real title of this rhyme...)

Vote vote vote for dear old (girl's name)
Who's that knocking at the door?
If it's (another girls name) let her in (she jumps in the rope)
And we'll sock her in the chin and we won't vote for (first girls names) anymore ???,
Shut the door, get out (first girl leaves)