Joe, that's one of a number of songs Julie does out of that same songbook, and the only other thing I know about it is that Lani questions the songbook's provenance.
In any case all the songs are delightful. She sings another about a chase where the pursuer and pursued keep changing shape, and I think that one about "My little husbandee (He was no bigger than a pea" also comes from the same source.
I, too, could write out the tune for you, if you want.
Blessings,
Barbara