That's the piece,but it's in a different key from mine - much higher.
(F rather than C because your book is for F recorders such as alto.) I looked for the C book in Google books, and it says "no Ebook available." Too bad.

I think the piece is interesting because it's 28 measures long and the first phrase is 6 measures long. Then it repeats. The remaining phrases are 2,2,and 4 measures long. It's a change from the 16-bar tune with phrases 4 measures long.

It's also interesting because it's a good tune. If it came from a collection of duos, I would like to find the other part.