Oh, wow, I remember nearly all of the songs posted here, despite the fact that many of us aren't even on the same continent. Isn't that funny. I've never heard of fish and chips and vinegar though--don't think we even knew what fish 'n chips wass!
Miss Lucy was a favorite of ours Now that I think about it though, it really should've been Mrs Lucy, or at least Ms. Lucy :P WHat's a nice little Miss Lucy doing having a baby?!
There were also rhymes that went with jump-roping...not sure if they count as songs though. They're more like chants. I can remember "Strawberry Shortcake" clearl
Strawberry shortcake, cream on top/tell me the name of your sweet-heart/is it a...b..c..d..e..
etc until the jumper messes up. It didn't work so well when we tried to do with weith two people jumping, or when we finally were able to get past 26 jumps in a row. I think we started numbers then, but that doesn't make any sense

Then there were the songs that went with hand-games
Eeny-meeny-sisileeny/ooh-opp-bumble-eeny/atchy-katchy-liveratchy/I hate you...lol. I could go on forever.