I agree with Meg's version - I learnt it in my London school aged about 14 - and it has a tune, which confirms the scansion. Bizarrely, since I thought it was a WWII song, it's from "Eine Kleine Nachtmusik" (which probably isn't in C, but I've transposed it into C major for ease of typing):
GC, GC, GCGCEG
EF, DF, DFDBDG
GC, GC, GCGCEG
EFGFEDFGFEDFGFDGC