A guest in this Mudcat thread thread.cfm?threadid=98109&messages=5
asked about an old song that includes the lines:

"One day when I was walking -- I met a wonderful boy -- he said he came from Kilarney -- I said that I did too -- some way we started talking -- he had a wonderful brough"

-snip-

That line reminded me of the "I'm A Pretty Little Dutch girl" rhyme and lead me back to this thread. It also lead me to these two other Mudcat threads:
thread.cfm?threadid=29995#382713 {Lyr Add: I'M A LITTLE DUTCH GIRL (jumprope chant)

and

thread.cfm?threadid=37757#1284620 {RE: Lyr Req: A Little Dutch boy (and Dutch girl)

**

Hopefully, these rhymes will lead back to the "One Day When I Was Walking" song that the Guest who started that thread was seeking.