In a common American version of the "bow & balance to me" type, there are *three* sisters (contamination from King Lear?) & she is never mentioned after the first stanza. It has been a repeated temptation for me to sing, at the end,

    The eldest daughter ran off with the prince,
      Bow down, bow down,
    The eldest daughter ran off with the prince,
      Bow & balance to me,
    The eldest daughter ran off with the prince,
    And neither of them has been heard from since.
      I will be true, true to my love,
      Love, and my love will be true to me.

In that one, there is no quarrel *about* a hat, but

    He gave the youngest a beaver hat.
    The elder sister thought ill of that.

Plain envy.