I remember Betty Botter, it's a really difficult tune to sing, especially for children (key changes)
I think as we were all 'ampshire 'ogs with awkward vowel sounds and a lot of glottal stops we were encouraged to sing it as an exercise in making Betty, Butter, Botter and Bitter sound distinct - we naturally didn't sound the T'd
We always wondered what kind of batter - we thought pancakes as those often contain melted butter, but YPs don't
I tried to find the tune I know on youtube but most of the versions I can find are American (different lyrics, expanded from the nursery rhyme) or Indian, and they use a variety of tunes, not the one I know (probably form one of the OUP song books)