Guest above, & a few years ago, wrote "Here's one I learned at my mother's knee. Don't know if it's a children's rhyme or a grown-ups one. It probably dates from 1945 or so. Although I can sing it I can't remember the name of the original tune - it'll come to me soon!

Vote, vote, vote for Winston Churchill
Throw all the others in the dock.
Winston is our man, we'll have him if we can
And we'll throw all the others in the dock.
(By the cock!) "

It went to the tune of "Tramp tramp tramp, the boys are marching."
My mother mentioned once that, when she was at school (in Portsmouth, UK) in the early forties, election day was always a school holiday. Groups of children would spend the day going round arm-in-arm singing, at least, the first line of the song, but using the names of the ellection candidates. They weren't partisan, but would sing the name of one candidate for a while, then go on to the next.